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Finding the Fourth Proportional to 3,534.10, 4,874.13 and 2,651.86

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Solution

The fourth proportional to 3,534.10, 4,874.13 and 2,651.86 is: 3,657.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.10 : 4,874.13 = 2,651.86 : x
  2. Step 2: Convert to fraction form
    3,534.10/4,874.13 = 2,651.86/x
  3. Step 3: Cross multiply
    3,534.10x = 4,874.13 × 2,651.86
  4. Step 4: Simplify right side
    3,534.10x = 12,925,510.38
  5. Step 5: Solve for x
    x = 12,925,510.38/3,534.10
  6. Step 6: Final answer
    x = 3,657.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.