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Finding the Fourth Proportional to 5,753.62, 8,614.34 and 4,693.06

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Solution

The fourth proportional to 5,753.62, 8,614.34 and 4,693.06 is: 7,026.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,753.62 : 8,614.34 = 4,693.06 : x
  2. Step 2: Convert to fraction form
    5,753.62/8,614.34 = 4,693.06/x
  3. Step 3: Cross multiply
    5,753.62x = 8,614.34 × 4,693.06
  4. Step 4: Simplify right side
    5,753.62x = 40,427,547.94
  5. Step 5: Solve for x
    x = 40,427,547.94/5,753.62
  6. Step 6: Final answer
    x = 7,026.46

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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.