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Finding the Fourth Proportional to 3,597.49, 5,394.38 and 1,648.02

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Solution

The fourth proportional to 3,597.49, 5,394.38 and 1,648.02 is: 2,471.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.49 : 5,394.38 = 1,648.02 : x
  2. Step 2: Convert to fraction form
    3,597.49/5,394.38 = 1,648.02/x
  3. Step 3: Cross multiply
    3,597.49x = 5,394.38 × 1,648.02
  4. Step 4: Simplify right side
    3,597.49x = 8,890,050.25
  5. Step 5: Solve for x
    x = 8,890,050.25/3,597.49
  6. Step 6: Final answer
    x = 2,471.18

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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.