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Finding the Fourth Proportional to 3,587.68, 4,954.56 and 2,849.44

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Solution

The fourth proportional to 3,587.68, 4,954.56 and 2,849.44 is: 3,935.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,587.68 : 4,954.56 = 2,849.44 : x
  2. Step 2: Convert to fraction form
    3,587.68/4,954.56 = 2,849.44/x
  3. Step 3: Cross multiply
    3,587.68x = 4,954.56 × 2,849.44
  4. Step 4: Simplify right side
    3,587.68x = 14,117,721.45
  5. Step 5: Solve for x
    x = 14,117,721.45/3,587.68
  6. Step 6: Final answer
    x = 3,935.06

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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.