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Finding the Fourth Proportional to 5,947.56, 8,919.54 and 2,484

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Solution

The fourth proportional to 5,947.56, 8,919.54 and 2,484 is: 3,725.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.56 : 8,919.54 = 2,484 : x
  2. Step 2: Convert to fraction form
    5,947.56/8,919.54 = 2,484/x
  3. Step 3: Cross multiply
    5,947.56x = 8,919.54 × 2,484
  4. Step 4: Simplify right side
    5,947.56x = 22,156,137.36
  5. Step 5: Solve for x
    x = 22,156,137.36/5,947.56
  6. Step 6: Final answer
    x = 3,725.25

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Why These Related Problems?

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