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Finding the Fourth Proportional to 5,306.87, 7,299.14 and 4,256.63

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Solution

The fourth proportional to 5,306.87, 7,299.14 and 4,256.63 is: 5,854.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.87 : 7,299.14 = 4,256.63 : x
  2. Step 2: Convert to fraction form
    5,306.87/7,299.14 = 4,256.63/x
  3. Step 3: Cross multiply
    5,306.87x = 7,299.14 × 4,256.63
  4. Step 4: Simplify right side
    5,306.87x = 31,069,717.02
  5. Step 5: Solve for x
    x = 31,069,717.02/5,306.87
  6. Step 6: Final answer
    x = 5,854.62

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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.