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Finding the Fourth Proportional to 5,038.43, 6,952.91 and 2,942.55

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Solution

The fourth proportional to 5,038.43, 6,952.91 and 2,942.55 is: 4,060.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,038.43 : 6,952.91 = 2,942.55 : x
  2. Step 2: Convert to fraction form
    5,038.43/6,952.91 = 2,942.55/x
  3. Step 3: Cross multiply
    5,038.43x = 6,952.91 × 2,942.55
  4. Step 4: Simplify right side
    5,038.43x = 20,459,270.61
  5. Step 5: Solve for x
    x = 20,459,270.61/5,038.43
  6. Step 6: Final answer
    x = 4,060.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.