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Finding the Fourth Proportional to 4,166.98, 6,256.04 and 3,610.71

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Solution

The fourth proportional to 4,166.98, 6,256.04 and 3,610.71 is: 5,420.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.98 : 6,256.04 = 3,610.71 : x
  2. Step 2: Convert to fraction form
    4,166.98/6,256.04 = 3,610.71/x
  3. Step 3: Cross multiply
    4,166.98x = 6,256.04 × 3,610.71
  4. Step 4: Simplify right side
    4,166.98x = 22,588,728.13
  5. Step 5: Solve for x
    x = 22,588,728.13/4,166.98
  6. Step 6: Final answer
    x = 5,420.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.