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Finding the Fourth Proportional to 5,146.86, 7,102.68 and 2,789

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Solution

The fourth proportional to 5,146.86, 7,102.68 and 2,789 is: 3,848.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.86 : 7,102.68 = 2,789 : x
  2. Step 2: Convert to fraction form
    5,146.86/7,102.68 = 2,789/x
  3. Step 3: Cross multiply
    5,146.86x = 7,102.68 × 2,789
  4. Step 4: Simplify right side
    5,146.86x = 19,809,374.52
  5. Step 5: Solve for x
    x = 19,809,374.52/5,146.86
  6. Step 6: Final answer
    x = 3,848.83

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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.