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Finding the Fourth Proportional to 3,565.30, 5,347.94 and 968.17

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Solution

The fourth proportional to 3,565.30, 5,347.94 and 968.17 is: 1,452.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.30 : 5,347.94 = 968.17 : x
  2. Step 2: Convert to fraction form
    3,565.30/5,347.94 = 968.17/x
  3. Step 3: Cross multiply
    3,565.30x = 5,347.94 × 968.17
  4. Step 4: Simplify right side
    3,565.30x = 5,177,715.07
  5. Step 5: Solve for x
    x = 5,177,715.07/3,565.30
  6. Step 6: Final answer
    x = 1,452.25

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1.5x scale

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.