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Finding the Fourth Proportional to 5,129.48, 7,683.90 and 3,564.20

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Solution

The fourth proportional to 5,129.48, 7,683.90 and 3,564.20 is: 5,339.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.48 : 7,683.90 = 3,564.20 : x
  2. Step 2: Convert to fraction form
    5,129.48/7,683.90 = 3,564.20/x
  3. Step 3: Cross multiply
    5,129.48x = 7,683.90 × 3,564.20
  4. Step 4: Simplify right side
    5,129.48x = 27,386,956.38
  5. Step 5: Solve for x
    x = 27,386,956.38/5,129.48
  6. Step 6: Final answer
    x = 5,339.13

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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.