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Finding the Fourth Proportional to 3,627.12, 5,437.44 and 1,317

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Solution

The fourth proportional to 3,627.12, 5,437.44 and 1,317 is: 1,974.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627.12 : 5,437.44 = 1,317 : x
  2. Step 2: Convert to fraction form
    3,627.12/5,437.44 = 1,317/x
  3. Step 3: Cross multiply
    3,627.12x = 5,437.44 × 1,317
  4. Step 4: Simplify right side
    3,627.12x = 7,161,108.48
  5. Step 5: Solve for x
    x = 7,161,108.48/3,627.12
  6. Step 6: Final answer
    x = 1,974.32

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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.