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Finding the Fourth Proportional to 3,566.40, 5,348.76 and 968.76

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Solution

The fourth proportional to 3,566.40, 5,348.76 and 968.76 is: 1,452.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.40 : 5,348.76 = 968.76 : x
  2. Step 2: Convert to fraction form
    3,566.40/5,348.76 = 968.76/x
  3. Step 3: Cross multiply
    3,566.40x = 5,348.76 × 968.76
  4. Step 4: Simplify right side
    3,566.40x = 5,181,664.74
  5. Step 5: Solve for x
    x = 5,181,664.74/3,566.40
  6. Step 6: Final answer
    x = 1,452.91

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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.