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Finding the Fourth Proportional to 6,421.90, 8,862.40 and 3,627.40

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Solution

The fourth proportional to 6,421.90, 8,862.40 and 3,627.40 is: 5,005.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,421.90 : 8,862.40 = 3,627.40 : x
  2. Step 2: Convert to fraction form
    6,421.90/8,862.40 = 3,627.40/x
  3. Step 3: Cross multiply
    6,421.90x = 8,862.40 × 3,627.40
  4. Step 4: Simplify right side
    6,421.90x = 32,147,469.76
  5. Step 5: Solve for x
    x = 32,147,469.76/6,421.90
  6. Step 6: Final answer
    x = 5,005.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.