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Finding the Fourth Proportional to 5,666.28, 8,509.14 and 3,071.04

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Solution

The fourth proportional to 5,666.28, 8,509.14 and 3,071.04 is: 4,611.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.28 : 8,509.14 = 3,071.04 : x
  2. Step 2: Convert to fraction form
    5,666.28/8,509.14 = 3,071.04/x
  3. Step 3: Cross multiply
    5,666.28x = 8,509.14 × 3,071.04
  4. Step 4: Simplify right side
    5,666.28x = 26,131,909.31
  5. Step 5: Solve for x
    x = 26,131,909.31/5,666.28
  6. Step 6: Final answer
    x = 4,611.83

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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.