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Finding the Fourth Proportional to 3,897.45, 5,376.02 and 2,218.50

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Solution

The fourth proportional to 3,897.45, 5,376.02 and 2,218.50 is: 3,060.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.45 : 5,376.02 = 2,218.50 : x
  2. Step 2: Convert to fraction form
    3,897.45/5,376.02 = 2,218.50/x
  3. Step 3: Cross multiply
    3,897.45x = 5,376.02 × 2,218.50
  4. Step 4: Simplify right side
    3,897.45x = 11,926,700.37
  5. Step 5: Solve for x
    x = 11,926,700.37/3,897.45
  6. Step 6: Final answer
    x = 3,060.13

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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.