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Finding the Fourth Proportional to 4,947.78, 7,416.08 and 2,024.50

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Solution

The fourth proportional to 4,947.78, 7,416.08 and 2,024.50 is: 3,034.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.78 : 7,416.08 = 2,024.50 : x
  2. Step 2: Convert to fraction form
    4,947.78/7,416.08 = 2,024.50/x
  3. Step 3: Cross multiply
    4,947.78x = 7,416.08 × 2,024.50
  4. Step 4: Simplify right side
    4,947.78x = 15,013,853.96
  5. Step 5: Solve for x
    x = 15,013,853.96/4,947.78
  6. Step 6: Final answer
    x = 3,034.46

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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.