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Finding the Fourth Proportional to 3,605.47, 5,408.58 and 1,008.40

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Solution

The fourth proportional to 3,605.47, 5,408.58 and 1,008.40 is: 1,512.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.47 : 5,408.58 = 1,008.40 : x
  2. Step 2: Convert to fraction form
    3,605.47/5,408.58 = 1,008.40/x
  3. Step 3: Cross multiply
    3,605.47x = 5,408.58 × 1,008.40
  4. Step 4: Simplify right side
    3,605.47x = 5,454,012.07
  5. Step 5: Solve for x
    x = 5,454,012.07/3,605.47
  6. Step 6: Final answer
    x = 1,512.70

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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.