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Finding the Fourth Proportional to 5,143.92, 7,128.47 and 5,045.46

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Solution

The fourth proportional to 5,143.92, 7,128.47 and 5,045.46 is: 6,992.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143.92 : 7,128.47 = 5,045.46 : x
  2. Step 2: Convert to fraction form
    5,143.92/7,128.47 = 5,045.46/x
  3. Step 3: Cross multiply
    5,143.92x = 7,128.47 × 5,045.46
  4. Step 4: Simplify right side
    5,143.92x = 35,966,385.02
  5. Step 5: Solve for x
    x = 35,966,385.02/5,143.92
  6. Step 6: Final answer
    x = 6,992.02

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.