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Finding the Fourth Proportional to 5,934.92, 8,911.64 and 5,672.02

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Solution

The fourth proportional to 5,934.92, 8,911.64 and 5,672.02 is: 8,516.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,934.92 : 8,911.64 = 5,672.02 : x
  2. Step 2: Convert to fraction form
    5,934.92/8,911.64 = 5,672.02/x
  3. Step 3: Cross multiply
    5,934.92x = 8,911.64 × 5,672.02
  4. Step 4: Simplify right side
    5,934.92x = 50,547,000.31
  5. Step 5: Solve for x
    x = 50,547,000.31/5,934.92
  6. Step 6: Final answer
    x = 8,516.88

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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.