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Finding the Fourth Proportional to 5,949.08, 8,884.56 and 4,780.86

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Solution

The fourth proportional to 5,949.08, 8,884.56 and 4,780.86 is: 7,139.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,949.08 : 8,884.56 = 4,780.86 : x
  2. Step 2: Convert to fraction form
    5,949.08/8,884.56 = 4,780.86/x
  3. Step 3: Cross multiply
    5,949.08x = 8,884.56 × 4,780.86
  4. Step 4: Simplify right side
    5,949.08x = 42,475,837.52
  5. Step 5: Solve for x
    x = 42,475,837.52/5,949.08
  6. Step 6: Final answer
    x = 7,139.90

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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.