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Finding the Fourth Proportional to 3,386.87, 4,663.50 and 2,964.86

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Solution

The fourth proportional to 3,386.87, 4,663.50 and 2,964.86 is: 4,082.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,386.87 : 4,663.50 = 2,964.86 : x
  2. Step 2: Convert to fraction form
    3,386.87/4,663.50 = 2,964.86/x
  3. Step 3: Cross multiply
    3,386.87x = 4,663.50 × 2,964.86
  4. Step 4: Simplify right side
    3,386.87x = 13,826,628.86
  5. Step 5: Solve for x
    x = 13,826,628.86/3,386.87
  6. Step 6: Final answer
    x = 4,082.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.