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Finding the Fourth Proportional to 3,599.57, 5,402.06 and 1,653.14

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Solution

The fourth proportional to 3,599.57, 5,402.06 and 1,653.14 is: 2,480.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,599.57 : 5,402.06 = 1,653.14 : x
  2. Step 2: Convert to fraction form
    3,599.57/5,402.06 = 1,653.14/x
  3. Step 3: Cross multiply
    3,599.57x = 5,402.06 × 1,653.14
  4. Step 4: Simplify right side
    3,599.57x = 8,930,326.19
  5. Step 5: Solve for x
    x = 8,930,326.19/3,599.57
  6. Step 6: Final answer
    x = 2,480.95

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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.