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Finding the Fourth Proportional to 6,261.90, 8,642.91 and 4,137.84

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Solution

The fourth proportional to 6,261.90, 8,642.91 and 4,137.84 is: 5,711.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,261.90 : 8,642.91 = 4,137.84 : x
  2. Step 2: Convert to fraction form
    6,261.90/8,642.91 = 4,137.84/x
  3. Step 3: Cross multiply
    6,261.90x = 8,642.91 × 4,137.84
  4. Step 4: Simplify right side
    6,261.90x = 35,762,978.71
  5. Step 5: Solve for x
    x = 35,762,978.71/6,261.90
  6. Step 6: Final answer
    x = 5,711.20

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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.