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Finding the Fourth Proportional to 3,627.64, 5,442.63 and 1,435.15

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Solution

The fourth proportional to 3,627.64, 5,442.63 and 1,435.15 is: 2,153.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627.64 : 5,442.63 = 1,435.15 : x
  2. Step 2: Convert to fraction form
    3,627.64/5,442.63 = 1,435.15/x
  3. Step 3: Cross multiply
    3,627.64x = 5,442.63 × 1,435.15
  4. Step 4: Simplify right side
    3,627.64x = 7,810,990.44
  5. Step 5: Solve for x
    x = 7,810,990.44/3,627.64
  6. Step 6: Final answer
    x = 2,153.19

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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.