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Finding the Fourth Proportional to 4,182.52, 5,771.86 and 2,319.52

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Solution

The fourth proportional to 4,182.52, 5,771.86 and 2,319.52 is: 3,200.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182.52 : 5,771.86 = 2,319.52 : x
  2. Step 2: Convert to fraction form
    4,182.52/5,771.86 = 2,319.52/x
  3. Step 3: Cross multiply
    4,182.52x = 5,771.86 × 2,319.52
  4. Step 4: Simplify right side
    4,182.52x = 13,387,944.71
  5. Step 5: Solve for x
    x = 13,387,944.71/4,182.52
  6. Step 6: Final answer
    x = 3,200.93

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