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Finding the Fourth Proportional to 3,802.29, 5,707.03 and 1,954.71

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Solution

The fourth proportional to 3,802.29, 5,707.03 and 1,954.71 is: 2,933.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.29 : 5,707.03 = 1,954.71 : x
  2. Step 2: Convert to fraction form
    3,802.29/5,707.03 = 1,954.71/x
  3. Step 3: Cross multiply
    3,802.29x = 5,707.03 × 1,954.71
  4. Step 4: Simplify right side
    3,802.29x = 11,155,550.30
  5. Step 5: Solve for x
    x = 11,155,550.30/3,802.29
  6. Step 6: Final answer
    x = 2,933.90

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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.