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Finding the Fourth Proportional to 4,865.87, 7,298.54 and 4,324.25

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Solution

The fourth proportional to 4,865.87, 7,298.54 and 4,324.25 is: 6,486.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,865.87 : 7,298.54 = 4,324.25 : x
  2. Step 2: Convert to fraction form
    4,865.87/7,298.54 = 4,324.25/x
  3. Step 3: Cross multiply
    4,865.87x = 7,298.54 × 4,324.25
  4. Step 4: Simplify right side
    4,865.87x = 31,560,689.97
  5. Step 5: Solve for x
    x = 31,560,689.97/4,865.87
  6. Step 6: Final answer
    x = 6,486.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.