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Finding the Fourth Proportional to 5,471.40, 7,539.84 and 5,102.04

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Solution

The fourth proportional to 5,471.40, 7,539.84 and 5,102.04 is: 7,030.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.40 : 7,539.84 = 5,102.04 : x
  2. Step 2: Convert to fraction form
    5,471.40/7,539.84 = 5,102.04/x
  3. Step 3: Cross multiply
    5,471.40x = 7,539.84 × 5,102.04
  4. Step 4: Simplify right side
    5,471.40x = 38,468,565.27
  5. Step 5: Solve for x
    x = 38,468,565.27/5,471.40
  6. Step 6: Final answer
    x = 7,030.84

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