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Finding the Fourth Proportional to 3,743.04, 5,614.08 and 1,145.76

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Solution

The fourth proportional to 3,743.04, 5,614.08 and 1,145.76 is: 1,718.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743.04 : 5,614.08 = 1,145.76 : x
  2. Step 2: Convert to fraction form
    3,743.04/5,614.08 = 1,145.76/x
  3. Step 3: Cross multiply
    3,743.04x = 5,614.08 × 1,145.76
  4. Step 4: Simplify right side
    3,743.04x = 6,432,388.30
  5. Step 5: Solve for x
    x = 6,432,388.30/3,743.04
  6. Step 6: Final answer
    x = 1,718.49

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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.