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Finding the Fourth Proportional to 5,953.96, 8,931.66 and 2,491.24

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Solution

The fourth proportional to 5,953.96, 8,931.66 and 2,491.24 is: 3,737.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,953.96 : 8,931.66 = 2,491.24 : x
  2. Step 2: Convert to fraction form
    5,953.96/8,931.66 = 2,491.24/x
  3. Step 3: Cross multiply
    5,953.96x = 8,931.66 × 2,491.24
  4. Step 4: Simplify right side
    5,953.96x = 22,250,908.66
  5. Step 5: Solve for x
    x = 22,250,908.66/5,953.96
  6. Step 6: Final answer
    x = 3,737.16

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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.