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Finding the Fourth Proportional to 3,446.64, 4,756.38 and 1,874.76

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Solution

The fourth proportional to 3,446.64, 4,756.38 and 1,874.76 is: 2,587.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.64 : 4,756.38 = 1,874.76 : x
  2. Step 2: Convert to fraction form
    3,446.64/4,756.38 = 1,874.76/x
  3. Step 3: Cross multiply
    3,446.64x = 4,756.38 × 1,874.76
  4. Step 4: Simplify right side
    3,446.64x = 8,917,070.97
  5. Step 5: Solve for x
    x = 8,917,070.97/3,446.64
  6. Step 6: Final answer
    x = 2,587.18

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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.