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Finding the Fourth Proportional to 3,332.52, 4,597.43 and 2,005.47

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Solution

The fourth proportional to 3,332.52, 4,597.43 and 2,005.47 is: 2,766.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,332.52 : 4,597.43 = 2,005.47 : x
  2. Step 2: Convert to fraction form
    3,332.52/4,597.43 = 2,005.47/x
  3. Step 3: Cross multiply
    3,332.52x = 4,597.43 × 2,005.47
  4. Step 4: Simplify right side
    3,332.52x = 9,219,997.91
  5. Step 5: Solve for x
    x = 9,219,997.91/3,332.52
  6. Step 6: Final answer
    x = 2,766.67

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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.