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Finding the Fourth Proportional to 3,353.96, 4,628.38 and 1,861.88

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Solution

The fourth proportional to 3,353.96, 4,628.38 and 1,861.88 is: 2,569.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,353.96 : 4,628.38 = 1,861.88 : x
  2. Step 2: Convert to fraction form
    3,353.96/4,628.38 = 1,861.88/x
  3. Step 3: Cross multiply
    3,353.96x = 4,628.38 × 1,861.88
  4. Step 4: Simplify right side
    3,353.96x = 8,617,488.15
  5. Step 5: Solve for x
    x = 8,617,488.15/3,353.96
  6. Step 6: Final answer
    x = 2,569.35

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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.