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Finding the Fourth Proportional to 3,887.68, 5,831.52 and 1,696.20

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Solution

The fourth proportional to 3,887.68, 5,831.52 and 1,696.20 is: 2,544.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.68 : 5,831.52 = 1,696.20 : x
  2. Step 2: Convert to fraction form
    3,887.68/5,831.52 = 1,696.20/x
  3. Step 3: Cross multiply
    3,887.68x = 5,831.52 × 1,696.20
  4. Step 4: Simplify right side
    3,887.68x = 9,891,424.22
  5. Step 5: Solve for x
    x = 9,891,424.22/3,887.68
  6. Step 6: Final answer
    x = 2,544.30

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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.