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Finding the Fourth Proportional to 3,585.22, 4,949.90 and 2,465.80

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Solution

The fourth proportional to 3,585.22, 4,949.90 and 2,465.80 is: 3,404.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.22 : 4,949.90 = 2,465.80 : x
  2. Step 2: Convert to fraction form
    3,585.22/4,949.90 = 2,465.80/x
  3. Step 3: Cross multiply
    3,585.22x = 4,949.90 × 2,465.80
  4. Step 4: Simplify right side
    3,585.22x = 12,205,463.42
  5. Step 5: Solve for x
    x = 12,205,463.42/3,585.22
  6. Step 6: Final answer
    x = 3,404.38

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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.