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Finding the Fourth Proportional to 3,595.68, 5,394.24 and 1,646.64

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Solution

The fourth proportional to 3,595.68, 5,394.24 and 1,646.64 is: 2,470.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,595.68 : 5,394.24 = 1,646.64 : x
  2. Step 2: Convert to fraction form
    3,595.68/5,394.24 = 1,646.64/x
  3. Step 3: Cross multiply
    3,595.68x = 5,394.24 × 1,646.64
  4. Step 4: Simplify right side
    3,595.68x = 8,882,371.35
  5. Step 5: Solve for x
    x = 8,882,371.35/3,595.68
  6. Step 6: Final answer
    x = 2,470.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.