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Finding the Fourth Proportional to 3,693.58, 5,097.70 and 2,258.78

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Solution

The fourth proportional to 3,693.58, 5,097.70 and 2,258.78 is: 3,117.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.58 : 5,097.70 = 2,258.78 : x
  2. Step 2: Convert to fraction form
    3,693.58/5,097.70 = 2,258.78/x
  3. Step 3: Cross multiply
    3,693.58x = 5,097.70 × 2,258.78
  4. Step 4: Simplify right side
    3,693.58x = 11,514,568.57
  5. Step 5: Solve for x
    x = 11,514,568.57/3,693.58
  6. Step 6: Final answer
    x = 3,117.45

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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.