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Finding the Fourth Proportional to 5,065.77, 6,988.81 and 3,174.06

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Solution

The fourth proportional to 5,065.77, 6,988.81 and 3,174.06 is: 4,378.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,065.77 : 6,988.81 = 3,174.06 : x
  2. Step 2: Convert to fraction form
    5,065.77/6,988.81 = 3,174.06/x
  3. Step 3: Cross multiply
    5,065.77x = 6,988.81 × 3,174.06
  4. Step 4: Simplify right side
    5,065.77x = 22,182,902.27
  5. Step 5: Solve for x
    x = 22,182,902.27/5,065.77
  6. Step 6: Final answer
    x = 4,378.98

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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.