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Finding the Fourth Proportional to 3,957.76, 5,462.22 and 2,386.72

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Solution

The fourth proportional to 3,957.76, 5,462.22 and 2,386.72 is: 3,293.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.76 : 5,462.22 = 2,386.72 : x
  2. Step 2: Convert to fraction form
    3,957.76/5,462.22 = 2,386.72/x
  3. Step 3: Cross multiply
    3,957.76x = 5,462.22 × 2,386.72
  4. Step 4: Simplify right side
    3,957.76x = 13,036,789.72
  5. Step 5: Solve for x
    x = 13,036,789.72/3,957.76
  6. Step 6: Final answer
    x = 3,293.98

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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.