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Finding the Fourth Proportional to 5,880.24, 8,816.16 and 2,758.50

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Solution

The fourth proportional to 5,880.24, 8,816.16 and 2,758.50 is: 4,135.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,880.24 : 8,816.16 = 2,758.50 : x
  2. Step 2: Convert to fraction form
    5,880.24/8,816.16 = 2,758.50/x
  3. Step 3: Cross multiply
    5,880.24x = 8,816.16 × 2,758.50
  4. Step 4: Simplify right side
    5,880.24x = 24,319,377.36
  5. Step 5: Solve for x
    x = 24,319,377.36/5,880.24
  6. Step 6: Final answer
    x = 4,135.78

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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.