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Finding the Fourth Proportional to 3,585.56, 4,946.04 and 2,258.78

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Solution

The fourth proportional to 3,585.56, 4,946.04 and 2,258.78 is: 3,115.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.56 : 4,946.04 = 2,258.78 : x
  2. Step 2: Convert to fraction form
    3,585.56/4,946.04 = 2,258.78/x
  3. Step 3: Cross multiply
    3,585.56x = 4,946.04 × 2,258.78
  4. Step 4: Simplify right side
    3,585.56x = 11,172,016.23
  5. Step 5: Solve for x
    x = 11,172,016.23/3,585.56
  6. Step 6: Final answer
    x = 3,115.84

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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.