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Finding the Fourth Proportional to 3,597.98, 5,393.19 and 1,648.58

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Solution

The fourth proportional to 3,597.98, 5,393.19 and 1,648.58 is: 2,471.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.98 : 5,393.19 = 1,648.58 : x
  2. Step 2: Convert to fraction form
    3,597.98/5,393.19 = 1,648.58/x
  3. Step 3: Cross multiply
    3,597.98x = 5,393.19 × 1,648.58
  4. Step 4: Simplify right side
    3,597.98x = 8,891,105.17
  5. Step 5: Solve for x
    x = 8,891,105.17/3,597.98
  6. Step 6: Final answer
    x = 2,471.14

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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.