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Finding the Fourth Proportional to 3,966.84, 5,469.93 and 2,474.22

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Solution

The fourth proportional to 3,966.84, 5,469.93 and 2,474.22 is: 3,411.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.84 : 5,469.93 = 2,474.22 : x
  2. Step 2: Convert to fraction form
    3,966.84/5,469.93 = 2,474.22/x
  3. Step 3: Cross multiply
    3,966.84x = 5,469.93 × 2,474.22
  4. Step 4: Simplify right side
    3,966.84x = 13,533,810.20
  5. Step 5: Solve for x
    x = 13,533,810.20/3,966.84
  6. Step 6: Final answer
    x = 3,411.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.