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Finding the Fourth Proportional to 4,177.58, 5,764.10 and 2,498.69

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Solution

The fourth proportional to 4,177.58, 5,764.10 and 2,498.69 is: 3,447.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,177.58 : 5,764.10 = 2,498.69 : x
  2. Step 2: Convert to fraction form
    4,177.58/5,764.10 = 2,498.69/x
  3. Step 3: Cross multiply
    4,177.58x = 5,764.10 × 2,498.69
  4. Step 4: Simplify right side
    4,177.58x = 14,402,700.95
  5. Step 5: Solve for x
    x = 14,402,700.95/4,177.58
  6. Step 6: Final answer
    x = 3,447.62

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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.