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Finding the Fourth Proportional to 3,565.41, 5,348.10 and 968.34

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Solution

The fourth proportional to 3,565.41, 5,348.10 and 968.34 is: 1,452.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.41 : 5,348.10 = 968.34 : x
  2. Step 2: Convert to fraction form
    3,565.41/5,348.10 = 968.34/x
  3. Step 3: Cross multiply
    3,565.41x = 5,348.10 × 968.34
  4. Step 4: Simplify right side
    3,565.41x = 5,178,779.15
  5. Step 5: Solve for x
    x = 5,178,779.15/3,565.41
  6. Step 6: Final answer
    x = 1,452.51

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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.