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Finding the Fourth Proportional to 6,788.52, 10,182.80 and 2,403.60

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Solution

The fourth proportional to 6,788.52, 10,182.80 and 2,403.60 is: 3,605.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,788.52 : 10,182.80 = 2,403.60 : x
  2. Step 2: Convert to fraction form
    6,788.52/10,182.80 = 2,403.60/x
  3. Step 3: Cross multiply
    6,788.52x = 10,182.80 × 2,403.60
  4. Step 4: Simplify right side
    6,788.52x = 24,475,378.08
  5. Step 5: Solve for x
    x = 24,475,378.08/6,788.52
  6. Step 6: Final answer
    x = 3,605.41

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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.