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Finding the Fourth Proportional to 3,724.56, 5,138.64 and 2,888.64

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Solution

The fourth proportional to 3,724.56, 5,138.64 and 2,888.64 is: 3,985.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,724.56 : 5,138.64 = 2,888.64 : x
  2. Step 2: Convert to fraction form
    3,724.56/5,138.64 = 2,888.64/x
  3. Step 3: Cross multiply
    3,724.56x = 5,138.64 × 2,888.64
  4. Step 4: Simplify right side
    3,724.56x = 14,843,681.05
  5. Step 5: Solve for x
    x = 14,843,681.05/3,724.56
  6. Step 6: Final answer
    x = 3,985.35

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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.