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Finding the Fourth Proportional to 7,301.59, 10,952.97 and 2,916.64

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Solution

The fourth proportional to 7,301.59, 10,952.97 and 2,916.64 is: 4,375.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,301.59 : 10,952.97 = 2,916.64 : x
  2. Step 2: Convert to fraction form
    7,301.59/10,952.97 = 2,916.64/x
  3. Step 3: Cross multiply
    7,301.59x = 10,952.97 × 2,916.64
  4. Step 4: Simplify right side
    7,301.59x = 31,945,870.42
  5. Step 5: Solve for x
    x = 31,945,870.42/7,301.59
  6. Step 6: Final answer
    x = 4,375.19

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Why These Related Problems?

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