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Finding the Fourth Proportional to 5,065.60, 6,989.68 and 2,827.20

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Solution

The fourth proportional to 5,065.60, 6,989.68 and 2,827.20 is: 3,901.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,065.60 : 6,989.68 = 2,827.20 : x
  2. Step 2: Convert to fraction form
    5,065.60/6,989.68 = 2,827.20/x
  3. Step 3: Cross multiply
    5,065.60x = 6,989.68 × 2,827.20
  4. Step 4: Simplify right side
    5,065.60x = 19,761,223.30
  5. Step 5: Solve for x
    x = 19,761,223.30/5,065.60
  6. Step 6: Final answer
    x = 3,901.06

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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.