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Finding the Fourth Proportional to 3,935.96, 5,432.54 and 2,258.34

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Solution

The fourth proportional to 3,935.96, 5,432.54 and 2,258.34 is: 3,117.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,935.96 : 5,432.54 = 2,258.34 : x
  2. Step 2: Convert to fraction form
    3,935.96/5,432.54 = 2,258.34/x
  3. Step 3: Cross multiply
    3,935.96x = 5,432.54 × 2,258.34
  4. Step 4: Simplify right side
    3,935.96x = 12,268,522.38
  5. Step 5: Solve for x
    x = 12,268,522.38/3,935.96
  6. Step 6: Final answer
    x = 3,117.03

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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.