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Finding the Fourth Proportional to 4,337.83, 6,505.84 and 1,527.04

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Solution

The fourth proportional to 4,337.83, 6,505.84 and 1,527.04 is: 2,290.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,337.83 : 6,505.84 = 1,527.04 : x
  2. Step 2: Convert to fraction form
    4,337.83/6,505.84 = 1,527.04/x
  3. Step 3: Cross multiply
    4,337.83x = 6,505.84 × 1,527.04
  4. Step 4: Simplify right side
    4,337.83x = 9,934,677.91
  5. Step 5: Solve for x
    x = 9,934,677.91/4,337.83
  6. Step 6: Final answer
    x = 2,290.24

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