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Finding the Fourth Proportional to 3,957.21, 5,462.70 and 2,364.42

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Solution

The fourth proportional to 3,957.21, 5,462.70 and 2,364.42 is: 3,263.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.21 : 5,462.70 = 2,364.42 : x
  2. Step 2: Convert to fraction form
    3,957.21/5,462.70 = 2,364.42/x
  3. Step 3: Cross multiply
    3,957.21x = 5,462.70 × 2,364.42
  4. Step 4: Simplify right side
    3,957.21x = 12,916,117.13
  5. Step 5: Solve for x
    x = 12,916,117.13/3,957.21
  6. Step 6: Final answer
    x = 3,263.95

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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.