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Finding the Fourth Proportional to 5,947.83, 8,878.14 and 5,508

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Solution

The fourth proportional to 5,947.83, 8,878.14 and 5,508 is: 8,221.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.83 : 8,878.14 = 5,508 : x
  2. Step 2: Convert to fraction form
    5,947.83/8,878.14 = 5,508/x
  3. Step 3: Cross multiply
    5,947.83x = 8,878.14 × 5,508
  4. Step 4: Simplify right side
    5,947.83x = 48,900,795.12
  5. Step 5: Solve for x
    x = 48,900,795.12/5,947.83
  6. Step 6: Final answer
    x = 8,221.62

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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.