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Finding the Fourth Proportional to 5,830.60, 8,747.16 and 2,708.32

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Solution

The fourth proportional to 5,830.60, 8,747.16 and 2,708.32 is: 4,063.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.60 : 8,747.16 = 2,708.32 : x
  2. Step 2: Convert to fraction form
    5,830.60/8,747.16 = 2,708.32/x
  3. Step 3: Cross multiply
    5,830.60x = 8,747.16 × 2,708.32
  4. Step 4: Simplify right side
    5,830.60x = 23,690,108.37
  5. Step 5: Solve for x
    x = 23,690,108.37/5,830.60
  6. Step 6: Final answer
    x = 4,063.07

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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.