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Finding the Fourth Proportional to 4,255.02, 5,871.96 and 2,366.64

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Solution

The fourth proportional to 4,255.02, 5,871.96 and 2,366.64 is: 3,265.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,255.02 : 5,871.96 = 2,366.64 : x
  2. Step 2: Convert to fraction form
    4,255.02/5,871.96 = 2,366.64/x
  3. Step 3: Cross multiply
    4,255.02x = 5,871.96 × 2,366.64
  4. Step 4: Simplify right side
    4,255.02x = 13,896,815.41
  5. Step 5: Solve for x
    x = 13,896,815.41/4,255.02
  6. Step 6: Final answer
    x = 3,265.98

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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.