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Finding the Fourth Proportional to 5,705.53, 8,562.12 and 2,007.78

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Solution

The fourth proportional to 5,705.53, 8,562.12 and 2,007.78 is: 3,013.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.53 : 8,562.12 = 2,007.78 : x
  2. Step 2: Convert to fraction form
    5,705.53/8,562.12 = 2,007.78/x
  3. Step 3: Cross multiply
    5,705.53x = 8,562.12 × 2,007.78
  4. Step 4: Simplify right side
    5,705.53x = 17,190,853.29
  5. Step 5: Solve for x
    x = 17,190,853.29/5,705.53
  6. Step 6: Final answer
    x = 3,013.02

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Why These Related Problems?

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