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Finding the Fourth Proportional to 3,897.96, 5,378.70 and 2,219.40

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Solution

The fourth proportional to 3,897.96, 5,378.70 and 2,219.40 is: 3,062.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.96 : 5,378.70 = 2,219.40 : x
  2. Step 2: Convert to fraction form
    3,897.96/5,378.70 = 2,219.40/x
  3. Step 3: Cross multiply
    3,897.96x = 5,378.70 × 2,219.40
  4. Step 4: Simplify right side
    3,897.96x = 11,937,486.78
  5. Step 5: Solve for x
    x = 11,937,486.78/3,897.96
  6. Step 6: Final answer
    x = 3,062.50

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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.