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Finding the Fourth Proportional to 5,897.14, 8,138.09 and 3,244.48

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Solution

The fourth proportional to 5,897.14, 8,138.09 and 3,244.48 is: 4,477.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.14 : 8,138.09 = 3,244.48 : x
  2. Step 2: Convert to fraction form
    5,897.14/8,138.09 = 3,244.48/x
  3. Step 3: Cross multiply
    5,897.14x = 8,138.09 × 3,244.48
  4. Step 4: Simplify right side
    5,897.14x = 26,403,870.24
  5. Step 5: Solve for x
    x = 26,403,870.24/5,897.14
  6. Step 6: Final answer
    x = 4,477.40

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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.