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Finding the Fourth Proportional to 3,953.06, 5,931.20 and 1,760.30

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Solution

The fourth proportional to 3,953.06, 5,931.20 and 1,760.30 is: 2,641.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.06 : 5,931.20 = 1,760.30 : x
  2. Step 2: Convert to fraction form
    3,953.06/5,931.20 = 1,760.30/x
  3. Step 3: Cross multiply
    3,953.06x = 5,931.20 × 1,760.30
  4. Step 4: Simplify right side
    3,953.06x = 10,440,691.36
  5. Step 5: Solve for x
    x = 10,440,691.36/3,953.06
  6. Step 6: Final answer
    x = 2,641.17

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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.