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Finding the Fourth Proportional to 6,141.52, 9,215.58 and 2,678.56

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Solution

The fourth proportional to 6,141.52, 9,215.58 and 2,678.56 is: 4,019.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.52 : 9,215.58 = 2,678.56 : x
  2. Step 2: Convert to fraction form
    6,141.52/9,215.58 = 2,678.56/x
  3. Step 3: Cross multiply
    6,141.52x = 9,215.58 × 2,678.56
  4. Step 4: Simplify right side
    6,141.52x = 24,684,483.96
  5. Step 5: Solve for x
    x = 24,684,483.96/6,141.52
  6. Step 6: Final answer
    x = 4,019.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.