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Finding the Fourth Proportional to 4,874.16, 7,311.24 and 1,411.41

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Solution

The fourth proportional to 4,874.16, 7,311.24 and 1,411.41 is: 2,117.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,874.16 : 7,311.24 = 1,411.41 : x
  2. Step 2: Convert to fraction form
    4,874.16/7,311.24 = 1,411.41/x
  3. Step 3: Cross multiply
    4,874.16x = 7,311.24 × 1,411.41
  4. Step 4: Simplify right side
    4,874.16x = 10,319,157.25
  5. Step 5: Solve for x
    x = 10,319,157.25/4,874.16
  6. Step 6: Final answer
    x = 2,117.12

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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.