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Finding the Fourth Proportional to 5,288.50, 7,298.13 and 2,931

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Solution

The fourth proportional to 5,288.50, 7,298.13 and 2,931 is: 4,044.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,288.50 : 7,298.13 = 2,931 : x
  2. Step 2: Convert to fraction form
    5,288.50/7,298.13 = 2,931/x
  3. Step 3: Cross multiply
    5,288.50x = 7,298.13 × 2,931
  4. Step 4: Simplify right side
    5,288.50x = 21,390,819.03
  5. Step 5: Solve for x
    x = 21,390,819.03/5,288.50
  6. Step 6: Final answer
    x = 4,044.78

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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.