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Finding the Fourth Proportional to 3,468.32, 5,201.62 and 1,275.84

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Solution

The fourth proportional to 3,468.32, 5,201.62 and 1,275.84 is: 1,913.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.32 : 5,201.62 = 1,275.84 : x
  2. Step 2: Convert to fraction form
    3,468.32/5,201.62 = 1,275.84/x
  3. Step 3: Cross multiply
    3,468.32x = 5,201.62 × 1,275.84
  4. Step 4: Simplify right side
    3,468.32x = 6,636,434.86
  5. Step 5: Solve for x
    x = 6,636,434.86/3,468.32
  6. Step 6: Final answer
    x = 1,913.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.