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Finding the Fourth Proportional to 5,176.63, 7,142.52 and 2,938.02

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Solution

The fourth proportional to 5,176.63, 7,142.52 and 2,938.02 is: 4,053.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176.63 : 7,142.52 = 2,938.02 : x
  2. Step 2: Convert to fraction form
    5,176.63/7,142.52 = 2,938.02/x
  3. Step 3: Cross multiply
    5,176.63x = 7,142.52 × 2,938.02
  4. Step 4: Simplify right side
    5,176.63x = 20,984,866.61
  5. Step 5: Solve for x
    x = 20,984,866.61/5,176.63
  6. Step 6: Final answer
    x = 4,053.77

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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.