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Finding the Fourth Proportional to 5,854.50, 8,785.20 and 2,159.31

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Solution

The fourth proportional to 5,854.50, 8,785.20 and 2,159.31 is: 3,240.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.50 : 8,785.20 = 2,159.31 : x
  2. Step 2: Convert to fraction form
    5,854.50/8,785.20 = 2,159.31/x
  3. Step 3: Cross multiply
    5,854.50x = 8,785.20 × 2,159.31
  4. Step 4: Simplify right side
    5,854.50x = 18,969,970.21
  5. Step 5: Solve for x
    x = 18,969,970.21/5,854.50
  6. Step 6: Final answer
    x = 3,240.24

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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.