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Finding the Fourth Proportional to 4,874.66, 7,311.99 and 1,411.91

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Solution

The fourth proportional to 4,874.66, 7,311.99 and 1,411.91 is: 2,117.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,874.66 : 7,311.99 = 1,411.91 : x
  2. Step 2: Convert to fraction form
    4,874.66/7,311.99 = 1,411.91/x
  3. Step 3: Cross multiply
    4,874.66x = 7,311.99 × 1,411.91
  4. Step 4: Simplify right side
    4,874.66x = 10,323,871.80
  5. Step 5: Solve for x
    x = 10,323,871.80/4,874.66
  6. Step 6: Final answer
    x = 2,117.87

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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.