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Finding the Fourth Proportional to 4,177.98, 5,764.59 and 2,499.93

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Solution

The fourth proportional to 4,177.98, 5,764.59 and 2,499.93 is: 3,449.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,177.98 : 5,764.59 = 2,499.93 : x
  2. Step 2: Convert to fraction form
    4,177.98/5,764.59 = 2,499.93/x
  3. Step 3: Cross multiply
    4,177.98x = 5,764.59 × 2,499.93
  4. Step 4: Simplify right side
    4,177.98x = 14,411,071.48
  5. Step 5: Solve for x
    x = 14,411,071.48/4,177.98
  6. Step 6: Final answer
    x = 3,449.29

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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.