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Finding the Fourth Proportional to 4,463.71, 6,695.69 and 1,689.86

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Solution

The fourth proportional to 4,463.71, 6,695.69 and 1,689.86 is: 2,534.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,463.71 : 6,695.69 = 1,689.86 : x
  2. Step 2: Convert to fraction form
    4,463.71/6,695.69 = 1,689.86/x
  3. Step 3: Cross multiply
    4,463.71x = 6,695.69 × 1,689.86
  4. Step 4: Simplify right side
    4,463.71x = 11,314,791.75
  5. Step 5: Solve for x
    x = 11,314,791.75/4,463.71
  6. Step 6: Final answer
    x = 2,534.84

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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.