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Finding the Fourth Proportional to 5,249.70, 7,875.66 and 1,739.50

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Solution

The fourth proportional to 5,249.70, 7,875.66 and 1,739.50 is: 2,609.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,249.70 : 7,875.66 = 1,739.50 : x
  2. Step 2: Convert to fraction form
    5,249.70/7,875.66 = 1,739.50/x
  3. Step 3: Cross multiply
    5,249.70x = 7,875.66 × 1,739.50
  4. Step 4: Simplify right side
    5,249.70x = 13,699,710.57
  5. Step 5: Solve for x
    x = 13,699,710.57/5,249.70
  6. Step 6: Final answer
    x = 2,609.62

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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.