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Finding the Fourth Proportional to 3,595.22, 5,391.12 and 1,646.18

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Solution

The fourth proportional to 3,595.22, 5,391.12 and 1,646.18 is: 2,468.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,595.22 : 5,391.12 = 1,646.18 : x
  2. Step 2: Convert to fraction form
    3,595.22/5,391.12 = 1,646.18/x
  3. Step 3: Cross multiply
    3,595.22x = 5,391.12 × 1,646.18
  4. Step 4: Simplify right side
    3,595.22x = 8,874,753.92
  5. Step 5: Solve for x
    x = 8,874,753.92/3,595.22
  6. Step 6: Final answer
    x = 2,468.49

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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.