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Finding the Fourth Proportional to 5,102.60, 7,041.62 and 2,864.92

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Solution

The fourth proportional to 5,102.60, 7,041.62 and 2,864.92 is: 3,953.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.60 : 7,041.62 = 2,864.92 : x
  2. Step 2: Convert to fraction form
    5,102.60/7,041.62 = 2,864.92/x
  3. Step 3: Cross multiply
    5,102.60x = 7,041.62 × 2,864.92
  4. Step 4: Simplify right side
    5,102.60x = 20,173,677.97
  5. Step 5: Solve for x
    x = 20,173,677.97/5,102.60
  6. Step 6: Final answer
    x = 3,953.61

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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.