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Finding the Fourth Proportional to 3,356.57, 5,034.89 and 891.74

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Solution

The fourth proportional to 3,356.57, 5,034.89 and 891.74 is: 1,337.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,356.57 : 5,034.89 = 891.74 : x
  2. Step 2: Convert to fraction form
    3,356.57/5,034.89 = 891.74/x
  3. Step 3: Cross multiply
    3,356.57x = 5,034.89 × 891.74
  4. Step 4: Simplify right side
    3,356.57x = 4,489,827.63
  5. Step 5: Solve for x
    x = 4,489,827.63/3,356.57
  6. Step 6: Final answer
    x = 1,337.62

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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.