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Finding the Fourth Proportional to 5,472.64, 7,554.68 and 4,258.56

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Solution

The fourth proportional to 5,472.64, 7,554.68 and 4,258.56 is: 5,878.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,472.64 : 7,554.68 = 4,258.56 : x
  2. Step 2: Convert to fraction form
    5,472.64/7,554.68 = 4,258.56/x
  3. Step 3: Cross multiply
    5,472.64x = 7,554.68 × 4,258.56
  4. Step 4: Simplify right side
    5,472.64x = 32,172,058.06
  5. Step 5: Solve for x
    x = 32,172,058.06/5,472.64
  6. Step 6: Final answer
    x = 5,878.71

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1.5x scale

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.