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Finding the Fourth Proportional to 5,832,056.80, 8,748,085.20 and 5,458,808.80

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Solution

The fourth proportional to 5,832,056.80, 8,748,085.20 and 5,458,808.80 is: 8,188,213.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,832,056.80 : 8,748,085.20 = 5,458,808.80 : x
  2. Step 2: Convert to fraction form
    5,832,056.80/8,748,085.20 = 5,458,808.80/x
  3. Step 3: Cross multiply
    5,832,056.80x = 8,748,085.20 × 5,458,808.80
  4. Step 4: Simplify right side
    5,832,056.80x = 47,754,124,472,909.76
  5. Step 5: Solve for x
    x = 47,754,124,472,909.76/5,832,056.80
  6. Step 6: Final answer
    x = 8,188,213.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.