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Finding the Fourth Proportional to 3,477.51, 5,215.35 and 1,286.86

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Solution

The fourth proportional to 3,477.51, 5,215.35 and 1,286.86 is: 1,929.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.51 : 5,215.35 = 1,286.86 : x
  2. Step 2: Convert to fraction form
    3,477.51/5,215.35 = 1,286.86/x
  3. Step 3: Cross multiply
    3,477.51x = 5,215.35 × 1,286.86
  4. Step 4: Simplify right side
    3,477.51x = 6,711,425.30
  5. Step 5: Solve for x
    x = 6,711,425.30/3,477.51
  6. Step 6: Final answer
    x = 1,929.95

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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.