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Finding the Fourth Proportional to 4,117.64, 6,177.10 and 1,381

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Solution

The fourth proportional to 4,117.64, 6,177.10 and 1,381 is: 2,071.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,117.64 : 6,177.10 = 1,381 : x
  2. Step 2: Convert to fraction form
    4,117.64/6,177.10 = 1,381/x
  3. Step 3: Cross multiply
    4,117.64x = 6,177.10 × 1,381
  4. Step 4: Simplify right side
    4,117.64x = 8,530,575.10
  5. Step 5: Solve for x
    x = 8,530,575.10/4,117.64
  6. Step 6: Final answer
    x = 2,071.71

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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.