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Finding the Fourth Proportional to 3,862.72, 5,330.64 and 2,290.24

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Solution

The fourth proportional to 3,862.72, 5,330.64 and 2,290.24 is: 3,160.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.72 : 5,330.64 = 2,290.24 : x
  2. Step 2: Convert to fraction form
    3,862.72/5,330.64 = 2,290.24/x
  3. Step 3: Cross multiply
    3,862.72x = 5,330.64 × 2,290.24
  4. Step 4: Simplify right side
    3,862.72x = 12,208,444.95
  5. Step 5: Solve for x
    x = 12,208,444.95/3,862.72
  6. Step 6: Final answer
    x = 3,160.58

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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.