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Finding the Fourth Proportional to 3,565.09, 5,347.63 and 968.02

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Solution

The fourth proportional to 3,565.09, 5,347.63 and 968.02 is: 1,452.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.09 : 5,347.63 = 968.02 : x
  2. Step 2: Convert to fraction form
    3,565.09/5,347.63 = 968.02/x
  3. Step 3: Cross multiply
    3,565.09x = 5,347.63 × 968.02
  4. Step 4: Simplify right side
    3,565.09x = 5,176,630.71
  5. Step 5: Solve for x
    x = 5,176,630.71/3,565.09
  6. Step 6: Final answer
    x = 1,452.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.