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Finding the Fourth Proportional to 3,502.70, 4,830.01 and 2,706.15

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Solution

The fourth proportional to 3,502.70, 4,830.01 and 2,706.15 is: 3,731.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.70 : 4,830.01 = 2,706.15 : x
  2. Step 2: Convert to fraction form
    3,502.70/4,830.01 = 2,706.15/x
  3. Step 3: Cross multiply
    3,502.70x = 4,830.01 × 2,706.15
  4. Step 4: Simplify right side
    3,502.70x = 13,070,731.56
  5. Step 5: Solve for x
    x = 13,070,731.56/3,502.70
  6. Step 6: Final answer
    x = 3,731.62

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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.