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Finding the Fourth Proportional to 6,098.77, 8,416.46 and 3,739.55

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Solution

The fourth proportional to 6,098.77, 8,416.46 and 3,739.55 is: 5,160.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.77 : 8,416.46 = 3,739.55 : x
  2. Step 2: Convert to fraction form
    6,098.77/8,416.46 = 3,739.55/x
  3. Step 3: Cross multiply
    6,098.77x = 8,416.46 × 3,739.55
  4. Step 4: Simplify right side
    6,098.77x = 31,473,803.38
  5. Step 5: Solve for x
    x = 31,473,803.38/6,098.77
  6. Step 6: Final answer
    x = 5,160.68

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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.