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Finding the Fourth Proportional to 5,232.50, 7,836.45 and 4,129.48

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Solution

The fourth proportional to 5,232.50, 7,836.45 and 4,129.48 is: 6,184.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232.50 : 7,836.45 = 4,129.48 : x
  2. Step 2: Convert to fraction form
    5,232.50/7,836.45 = 4,129.48/x
  3. Step 3: Cross multiply
    5,232.50x = 7,836.45 × 4,129.48
  4. Step 4: Simplify right side
    5,232.50x = 32,360,457.86
  5. Step 5: Solve for x
    x = 32,360,457.86/5,232.50
  6. Step 6: Final answer
    x = 6,184.51

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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.