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Finding the Fourth Proportional to 3,953.84, 5,960.78 and 3,742.16

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Solution

The fourth proportional to 3,953.84, 5,960.78 and 3,742.16 is: 5,641.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.84 : 5,960.78 = 3,742.16 : x
  2. Step 2: Convert to fraction form
    3,953.84/5,960.78 = 3,742.16/x
  3. Step 3: Cross multiply
    3,953.84x = 5,960.78 × 3,742.16
  4. Step 4: Simplify right side
    3,953.84x = 22,306,192.48
  5. Step 5: Solve for x
    x = 22,306,192.48/3,953.84
  6. Step 6: Final answer
    x = 5,641.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.