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Finding the Fourth Proportional to 5,877.56, 8,104.02 and 5,381.84

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Solution

The fourth proportional to 5,877.56, 8,104.02 and 5,381.84 is: 7,420.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877.56 : 8,104.02 = 5,381.84 : x
  2. Step 2: Convert to fraction form
    5,877.56/8,104.02 = 5,381.84/x
  3. Step 3: Cross multiply
    5,877.56x = 8,104.02 × 5,381.84
  4. Step 4: Simplify right side
    5,877.56x = 43,614,539.00
  5. Step 5: Solve for x
    x = 43,614,539.00/5,877.56
  6. Step 6: Final answer
    x = 7,420.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.