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Finding the Fourth Proportional to 3,357.61, 5,035.95 and 892.63

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Solution

The fourth proportional to 3,357.61, 5,035.95 and 892.63 is: 1,338.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,357.61 : 5,035.95 = 892.63 : x
  2. Step 2: Convert to fraction form
    3,357.61/5,035.95 = 892.63/x
  3. Step 3: Cross multiply
    3,357.61x = 5,035.95 × 892.63
  4. Step 4: Simplify right side
    3,357.61x = 4,495,240.05
  5. Step 5: Solve for x
    x = 4,495,240.05/3,357.61
  6. Step 6: Final answer
    x = 1,338.82

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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.