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Finding the Fourth Proportional to 4,646.70, 6,411.20 and 2,656.85

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Solution

The fourth proportional to 4,646.70, 6,411.20 and 2,656.85 is: 3,665.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.70 : 6,411.20 = 2,656.85 : x
  2. Step 2: Convert to fraction form
    4,646.70/6,411.20 = 2,656.85/x
  3. Step 3: Cross multiply
    4,646.70x = 6,411.20 × 2,656.85
  4. Step 4: Simplify right side
    4,646.70x = 17,033,551.38
  5. Step 5: Solve for x
    x = 17,033,551.38/4,646.70
  6. Step 6: Final answer
    x = 3,665.73

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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.