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Finding the Fourth Proportional to 3,258.56, 4,497.28 and 2,471.28

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Solution

The fourth proportional to 3,258.56, 4,497.28 and 2,471.28 is: 3,410.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,258.56 : 4,497.28 = 2,471.28 : x
  2. Step 2: Convert to fraction form
    3,258.56/4,497.28 = 2,471.28/x
  3. Step 3: Cross multiply
    3,258.56x = 4,497.28 × 2,471.28
  4. Step 4: Simplify right side
    3,258.56x = 11,114,038.12
  5. Step 5: Solve for x
    x = 11,114,038.12/3,258.56
  6. Step 6: Final answer
    x = 3,410.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.