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Finding the Fourth Proportional to 3,376.62, 5,061.69 and 1,066.50

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Solution

The fourth proportional to 3,376.62, 5,061.69 and 1,066.50 is: 1,598.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,376.62 : 5,061.69 = 1,066.50 : x
  2. Step 2: Convert to fraction form
    3,376.62/5,061.69 = 1,066.50/x
  3. Step 3: Cross multiply
    3,376.62x = 5,061.69 × 1,066.50
  4. Step 4: Simplify right side
    3,376.62x = 5,398,292.39
  5. Step 5: Solve for x
    x = 5,398,292.39/3,376.62
  6. Step 6: Final answer
    x = 1,598.73

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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.