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Finding the Fourth Proportional to 3,931.93, 5,898.50 and 1,467.10

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Solution

The fourth proportional to 3,931.93, 5,898.50 and 1,467.10 is: 2,200.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,931.93 : 5,898.50 = 1,467.10 : x
  2. Step 2: Convert to fraction form
    3,931.93/5,898.50 = 1,467.10/x
  3. Step 3: Cross multiply
    3,931.93x = 5,898.50 × 1,467.10
  4. Step 4: Simplify right side
    3,931.93x = 8,653,689.35
  5. Step 5: Solve for x
    x = 8,653,689.35/3,931.93
  6. Step 6: Final answer
    x = 2,200.88

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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.