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Finding the Fourth Proportional to 3,753.84, 5,632.11 and 1,903.55

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Solution

The fourth proportional to 3,753.84, 5,632.11 and 1,903.55 is: 2,856.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.84 : 5,632.11 = 1,903.55 : x
  2. Step 2: Convert to fraction form
    3,753.84/5,632.11 = 1,903.55/x
  3. Step 3: Cross multiply
    3,753.84x = 5,632.11 × 1,903.55
  4. Step 4: Simplify right side
    3,753.84x = 10,721,001.16
  5. Step 5: Solve for x
    x = 10,721,001.16/3,753.84
  6. Step 6: Final answer
    x = 2,856.01

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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.