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Finding the Fourth Proportional to 3,386.90, 4,663.54 and 2,964.89

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Solution

The fourth proportional to 3,386.90, 4,663.54 and 2,964.89 is: 4,082.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,386.90 : 4,663.54 = 2,964.89 : x
  2. Step 2: Convert to fraction form
    3,386.90/4,663.54 = 2,964.89/x
  3. Step 3: Cross multiply
    3,386.90x = 4,663.54 × 2,964.89
  4. Step 4: Simplify right side
    3,386.90x = 13,826,898.48
  5. Step 5: Solve for x
    x = 13,826,898.48/3,386.90
  6. Step 6: Final answer
    x = 4,082.46

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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.