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Finding the Fourth Proportional to 3,258.42, 4,888.67 and 1,066.65

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Solution

The fourth proportional to 3,258.42, 4,888.67 and 1,066.65 is: 1,600.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,258.42 : 4,888.67 = 1,066.65 : x
  2. Step 2: Convert to fraction form
    3,258.42/4,888.67 = 1,066.65/x
  3. Step 3: Cross multiply
    3,258.42x = 4,888.67 × 1,066.65
  4. Step 4: Simplify right side
    3,258.42x = 5,214,494.52
  5. Step 5: Solve for x
    x = 5,214,494.52/3,258.42
  6. Step 6: Final answer
    x = 1,600.31

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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.