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Finding the Fourth Proportional to 3,897.22, 5,378.01 and 2,304.90

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Solution

The fourth proportional to 3,897.22, 5,378.01 and 2,304.90 is: 3,180.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.22 : 5,378.01 = 2,304.90 : x
  2. Step 2: Convert to fraction form
    3,897.22/5,378.01 = 2,304.90/x
  3. Step 3: Cross multiply
    3,897.22x = 5,378.01 × 2,304.90
  4. Step 4: Simplify right side
    3,897.22x = 12,395,775.25
  5. Step 5: Solve for x
    x = 12,395,775.25/3,897.22
  6. Step 6: Final answer
    x = 3,180.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.