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Finding the Fourth Proportional to 3,802.42, 5,706.65 and 1,722.58

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Solution

The fourth proportional to 3,802.42, 5,706.65 and 1,722.58 is: 2,585.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.42 : 5,706.65 = 1,722.58 : x
  2. Step 2: Convert to fraction form
    3,802.42/5,706.65 = 1,722.58/x
  3. Step 3: Cross multiply
    3,802.42x = 5,706.65 × 1,722.58
  4. Step 4: Simplify right side
    3,802.42x = 9,830,132.62
  5. Step 5: Solve for x
    x = 9,830,132.62/3,802.42
  6. Step 6: Final answer
    x = 2,585.23

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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.