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Finding the Fourth Proportional to 5,325.70, 7,989.15 and 1,627.90

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Solution

The fourth proportional to 5,325.70, 7,989.15 and 1,627.90 is: 2,442.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,325.70 : 7,989.15 = 1,627.90 : x
  2. Step 2: Convert to fraction form
    5,325.70/7,989.15 = 1,627.90/x
  3. Step 3: Cross multiply
    5,325.70x = 7,989.15 × 1,627.90
  4. Step 4: Simplify right side
    5,325.70x = 13,005,537.29
  5. Step 5: Solve for x
    x = 13,005,537.29/5,325.70
  6. Step 6: Final answer
    x = 2,442.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.