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Finding the Fourth Proportional to 3,223.48, 4,829.10 and 2,706.88

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Solution

The fourth proportional to 3,223.48, 4,829.10 and 2,706.88 is: 4,055.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.48 : 4,829.10 = 2,706.88 : x
  2. Step 2: Convert to fraction form
    3,223.48/4,829.10 = 2,706.88/x
  3. Step 3: Cross multiply
    3,223.48x = 4,829.10 × 2,706.88
  4. Step 4: Simplify right side
    3,223.48x = 13,071,794.21
  5. Step 5: Solve for x
    x = 13,071,794.21/3,223.48
  6. Step 6: Final answer
    x = 4,055.18

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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.