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Finding the Fourth Proportional to 3,468.76, 4,787.08 and 2,289

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Solution

The fourth proportional to 3,468.76, 4,787.08 and 2,289 is: 3,158.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.76 : 4,787.08 = 2,289 : x
  2. Step 2: Convert to fraction form
    3,468.76/4,787.08 = 2,289/x
  3. Step 3: Cross multiply
    3,468.76x = 4,787.08 × 2,289
  4. Step 4: Simplify right side
    3,468.76x = 10,957,626.12
  5. Step 5: Solve for x
    x = 10,957,626.12/3,468.76
  6. Step 6: Final answer
    x = 3,158.95

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Why These Related Problems?

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