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Finding the Fourth Proportional to 4,476.78, 6,178 and 2,487.56

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Solution

The fourth proportional to 4,476.78, 6,178 and 2,487.56 is: 3,432.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,476.78 : 6,178 = 2,487.56 : x
  2. Step 2: Convert to fraction form
    4,476.78/6,178 = 2,487.56/x
  3. Step 3: Cross multiply
    4,476.78x = 6,178 × 2,487.56
  4. Step 4: Simplify right side
    4,476.78x = 15,368,145.68
  5. Step 5: Solve for x
    x = 15,368,145.68/4,476.78
  6. Step 6: Final answer
    x = 3,432.86

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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.