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Finding the Fourth Proportional to 3,802.65, 5,706.70 and 2,342.82

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Solution

The fourth proportional to 3,802.65, 5,706.70 and 2,342.82 is: 3,515.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.65 : 5,706.70 = 2,342.82 : x
  2. Step 2: Convert to fraction form
    3,802.65/5,706.70 = 2,342.82/x
  3. Step 3: Cross multiply
    3,802.65x = 5,706.70 × 2,342.82
  4. Step 4: Simplify right side
    3,802.65x = 13,369,799.62
  5. Step 5: Solve for x
    x = 13,369,799.62/3,802.65
  6. Step 6: Final answer
    x = 3,515.92

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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.