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Finding the Fourth Proportional to 6,131.68, 8,461.74 and 3,337.18

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Solution

The fourth proportional to 6,131.68, 8,461.74 and 3,337.18 is: 4,605.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,131.68 : 8,461.74 = 3,337.18 : x
  2. Step 2: Convert to fraction form
    6,131.68/8,461.74 = 3,337.18/x
  3. Step 3: Cross multiply
    6,131.68x = 8,461.74 × 3,337.18
  4. Step 4: Simplify right side
    6,131.68x = 28,238,349.49
  5. Step 5: Solve for x
    x = 28,238,349.49/6,131.68
  6. Step 6: Final answer
    x = 4,605.32

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Why These Related Problems?

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