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Finding the Fourth Proportional to 5,134.78, 7,085.50 and 2,897

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Solution

The fourth proportional to 5,134.78, 7,085.50 and 2,897 is: 3,997.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,134.78 : 7,085.50 = 2,897 : x
  2. Step 2: Convert to fraction form
    5,134.78/7,085.50 = 2,897/x
  3. Step 3: Cross multiply
    5,134.78x = 7,085.50 × 2,897
  4. Step 4: Simplify right side
    5,134.78x = 20,526,693.50
  5. Step 5: Solve for x
    x = 20,526,693.50/5,134.78
  6. Step 6: Final answer
    x = 3,997.58

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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.