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Finding the Fourth Proportional to 3,505.44, 5,258.25 and 1,657.42

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Solution

The fourth proportional to 3,505.44, 5,258.25 and 1,657.42 is: 2,486.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.44 : 5,258.25 = 1,657.42 : x
  2. Step 2: Convert to fraction form
    3,505.44/5,258.25 = 1,657.42/x
  3. Step 3: Cross multiply
    3,505.44x = 5,258.25 × 1,657.42
  4. Step 4: Simplify right side
    3,505.44x = 8,715,128.72
  5. Step 5: Solve for x
    x = 8,715,128.72/3,505.44
  6. Step 6: Final answer
    x = 2,486.17

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1.5x scale

Why These Related Problems?

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