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Finding the Fourth Proportional to 5,065.56, 6,989.72 and 2,827.49

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Solution

The fourth proportional to 5,065.56, 6,989.72 and 2,827.49 is: 3,901.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,065.56 : 6,989.72 = 2,827.49 : x
  2. Step 2: Convert to fraction form
    5,065.56/6,989.72 = 2,827.49/x
  3. Step 3: Cross multiply
    5,065.56x = 6,989.72 × 2,827.49
  4. Step 4: Simplify right side
    5,065.56x = 19,763,314.32
  5. Step 5: Solve for x
    x = 19,763,314.32/5,065.56
  6. Step 6: Final answer
    x = 3,901.51

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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.