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Finding the Fourth Proportional to 6,131.71, 8,461.65 and 3,442.95

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Solution

The fourth proportional to 6,131.71, 8,461.65 and 3,442.95 is: 4,751.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,131.71 : 8,461.65 = 3,442.95 : x
  2. Step 2: Convert to fraction form
    6,131.71/8,461.65 = 3,442.95/x
  3. Step 3: Cross multiply
    6,131.71x = 8,461.65 × 3,442.95
  4. Step 4: Simplify right side
    6,131.71x = 29,133,023.14
  5. Step 5: Solve for x
    x = 29,133,023.14/6,131.71
  6. Step 6: Final answer
    x = 4,751.21

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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.