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Finding the Fourth Proportional to 3,523.74, 4,862.25 and 2,264.91

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Solution

The fourth proportional to 3,523.74, 4,862.25 and 2,264.91 is: 3,125.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.74 : 4,862.25 = 2,264.91 : x
  2. Step 2: Convert to fraction form
    3,523.74/4,862.25 = 2,264.91/x
  3. Step 3: Cross multiply
    3,523.74x = 4,862.25 × 2,264.91
  4. Step 4: Simplify right side
    3,523.74x = 11,012,558.65
  5. Step 5: Solve for x
    x = 11,012,558.65/3,523.74
  6. Step 6: Final answer
    x = 3,125.25

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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.