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Finding the Fourth Proportional to 3,565.52, 5,347.60 and 968.12

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Solution

The fourth proportional to 3,565.52, 5,347.60 and 968.12 is: 1,452.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.52 : 5,347.60 = 968.12 : x
  2. Step 2: Convert to fraction form
    3,565.52/5,347.60 = 968.12/x
  3. Step 3: Cross multiply
    3,565.52x = 5,347.60 × 968.12
  4. Step 4: Simplify right side
    3,565.52x = 5,177,118.51
  5. Step 5: Solve for x
    x = 5,177,118.51/3,565.52
  6. Step 6: Final answer
    x = 1,452.00

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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.