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Finding the Fourth Proportional to 4,266.54, 5,887.82 and 2,498.49

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Solution

The fourth proportional to 4,266.54, 5,887.82 and 2,498.49 is: 3,447.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,266.54 : 5,887.82 = 2,498.49 : x
  2. Step 2: Convert to fraction form
    4,266.54/5,887.82 = 2,498.49/x
  3. Step 3: Cross multiply
    4,266.54x = 5,887.82 × 2,498.49
  4. Step 4: Simplify right side
    4,266.54x = 14,710,665.64
  5. Step 5: Solve for x
    x = 14,710,665.64/4,266.54
  6. Step 6: Final answer
    x = 3,447.91

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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.