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Finding the Fourth Proportional to 4,616.84, 6,926.15 and 1,497.62

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Solution

The fourth proportional to 4,616.84, 6,926.15 and 1,497.62 is: 2,246.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.84 : 6,926.15 = 1,497.62 : x
  2. Step 2: Convert to fraction form
    4,616.84/6,926.15 = 1,497.62/x
  3. Step 3: Cross multiply
    4,616.84x = 6,926.15 × 1,497.62
  4. Step 4: Simplify right side
    4,616.84x = 10,372,761.82
  5. Step 5: Solve for x
    x = 10,372,761.82/4,616.84
  6. Step 6: Final answer
    x = 2,246.72

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Why These Related Problems?

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