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Finding the Fourth Proportional to 2,387.82, 3,557.11 and 2,315.28

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Solution

The fourth proportional to 2,387.82, 3,557.11 and 2,315.28 is: 3,449.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.82 : 3,557.11 = 2,315.28 : x
  2. Step 2: Convert to fraction form
    2,387.82/3,557.11 = 2,315.28/x
  3. Step 3: Cross multiply
    2,387.82x = 3,557.11 × 2,315.28
  4. Step 4: Simplify right side
    2,387.82x = 8,235,705.64
  5. Step 5: Solve for x
    x = 8,235,705.64/2,387.82
  6. Step 6: Final answer
    x = 3,449.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.