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Finding the Fourth Proportional to 3,565.48, 5,348.48 and 968.36

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Solution

The fourth proportional to 3,565.48, 5,348.48 and 968.36 is: 1,452.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.48 : 5,348.48 = 968.36 : x
  2. Step 2: Convert to fraction form
    3,565.48/5,348.48 = 968.36/x
  3. Step 3: Cross multiply
    3,565.48x = 5,348.48 × 968.36
  4. Step 4: Simplify right side
    3,565.48x = 5,179,254.09
  5. Step 5: Solve for x
    x = 5,179,254.09/3,565.48
  6. Step 6: Final answer
    x = 1,452.61

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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.