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Finding the Fourth Proportional to 5,665.62, 8,505.70 and 3,070.38

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Solution

The fourth proportional to 5,665.62, 8,505.70 and 3,070.38 is: 4,609.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.62 : 8,505.70 = 3,070.38 : x
  2. Step 2: Convert to fraction form
    5,665.62/8,505.70 = 3,070.38/x
  3. Step 3: Cross multiply
    5,665.62x = 8,505.70 × 3,070.38
  4. Step 4: Simplify right side
    5,665.62x = 26,115,731.17
  5. Step 5: Solve for x
    x = 26,115,731.17/5,665.62
  6. Step 6: Final answer
    x = 4,609.51

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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.