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Finding the Fourth Proportional to 3,565.53, 5,347.86 and 968.25

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Solution

The fourth proportional to 3,565.53, 5,347.86 and 968.25 is: 1,452.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.53 : 5,347.86 = 968.25 : x
  2. Step 2: Convert to fraction form
    3,565.53/5,347.86 = 968.25/x
  3. Step 3: Cross multiply
    3,565.53x = 5,347.86 × 968.25
  4. Step 4: Simplify right side
    3,565.53x = 5,178,065.45
  5. Step 5: Solve for x
    x = 5,178,065.45/3,565.53
  6. Step 6: Final answer
    x = 1,452.26

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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.