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Finding the Fourth Proportional to 3,886.90, 5,831.70 and 1,697.20

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Solution

The fourth proportional to 3,886.90, 5,831.70 and 1,697.20 is: 2,546.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.90 : 5,831.70 = 1,697.20 : x
  2. Step 2: Convert to fraction form
    3,886.90/5,831.70 = 1,697.20/x
  3. Step 3: Cross multiply
    3,886.90x = 5,831.70 × 1,697.20
  4. Step 4: Simplify right side
    3,886.90x = 9,897,561.24
  5. Step 5: Solve for x
    x = 9,897,561.24/3,886.90
  6. Step 6: Final answer
    x = 2,546.39

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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.