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Finding the Fourth Proportional to 5,325.62, 7,989.64 and 1,627.82

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Solution

The fourth proportional to 5,325.62, 7,989.64 and 1,627.82 is: 2,442.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,325.62 : 7,989.64 = 1,627.82 : x
  2. Step 2: Convert to fraction form
    5,325.62/7,989.64 = 1,627.82/x
  3. Step 3: Cross multiply
    5,325.62x = 7,989.64 × 1,627.82
  4. Step 4: Simplify right side
    5,325.62x = 13,005,695.78
  5. Step 5: Solve for x
    x = 13,005,695.78/5,325.62
  6. Step 6: Final answer
    x = 2,442.10

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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.