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Finding the Fourth Proportional to 5,294.84, 7,937.60 and 2,008.13

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Solution

The fourth proportional to 5,294.84, 7,937.60 and 2,008.13 is: 3,010.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.84 : 7,937.60 = 2,008.13 : x
  2. Step 2: Convert to fraction form
    5,294.84/7,937.60 = 2,008.13/x
  3. Step 3: Cross multiply
    5,294.84x = 7,937.60 × 2,008.13
  4. Step 4: Simplify right side
    5,294.84x = 15,939,682.96
  5. Step 5: Solve for x
    x = 15,939,682.96/5,294.84
  6. Step 6: Final answer
    x = 3,010.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.