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Finding the Fourth Proportional to 3,154.56, 4,724.52 and 2,880

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Solution

The fourth proportional to 3,154.56, 4,724.52 and 2,880 is: 4,313.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.56 : 4,724.52 = 2,880 : x
  2. Step 2: Convert to fraction form
    3,154.56/4,724.52 = 2,880/x
  3. Step 3: Cross multiply
    3,154.56x = 4,724.52 × 2,880
  4. Step 4: Simplify right side
    3,154.56x = 13,606,617.60
  5. Step 5: Solve for x
    x = 13,606,617.60/3,154.56
  6. Step 6: Final answer
    x = 4,313.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.