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Finding the Fourth Proportional to 3,742.07, 5,612.56 and 968.76

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Solution

The fourth proportional to 3,742.07, 5,612.56 and 968.76 is: 1,453.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.07 : 5,612.56 = 968.76 : x
  2. Step 2: Convert to fraction form
    3,742.07/5,612.56 = 968.76/x
  3. Step 3: Cross multiply
    3,742.07x = 5,612.56 × 968.76
  4. Step 4: Simplify right side
    3,742.07x = 5,437,221.20
  5. Step 5: Solve for x
    x = 5,437,221.20/3,742.07
  6. Step 6: Final answer
    x = 1,453.00

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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.