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Finding the Fourth Proportional to 5,876.16, 8,107.20 and 4,009.92

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Solution

The fourth proportional to 5,876.16, 8,107.20 and 4,009.92 is: 5,532.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.16 : 8,107.20 = 4,009.92 : x
  2. Step 2: Convert to fraction form
    5,876.16/8,107.20 = 4,009.92/x
  3. Step 3: Cross multiply
    5,876.16x = 8,107.20 × 4,009.92
  4. Step 4: Simplify right side
    5,876.16x = 32,509,223.42
  5. Step 5: Solve for x
    x = 32,509,223.42/5,876.16
  6. Step 6: Final answer
    x = 5,532.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.