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Finding the Fourth Proportional to 5,646.60, 8,470.31 and 1,751.31

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Solution

The fourth proportional to 5,646.60, 8,470.31 and 1,751.31 is: 2,627.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.60 : 8,470.31 = 1,751.31 : x
  2. Step 2: Convert to fraction form
    5,646.60/8,470.31 = 1,751.31/x
  3. Step 3: Cross multiply
    5,646.60x = 8,470.31 × 1,751.31
  4. Step 4: Simplify right side
    5,646.60x = 14,834,129.85
  5. Step 5: Solve for x
    x = 14,834,129.85/5,646.60
  6. Step 6: Final answer
    x = 2,627.09

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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.