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Finding the Fourth Proportional to 4,228.66, 5,835.65 and 2,739.17

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Solution

The fourth proportional to 4,228.66, 5,835.65 and 2,739.17 is: 3,780.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,228.66 : 5,835.65 = 2,739.17 : x
  2. Step 2: Convert to fraction form
    4,228.66/5,835.65 = 2,739.17/x
  3. Step 3: Cross multiply
    4,228.66x = 5,835.65 × 2,739.17
  4. Step 4: Simplify right side
    4,228.66x = 15,984,823.71
  5. Step 5: Solve for x
    x = 15,984,823.71/4,228.66
  6. Step 6: Final answer
    x = 3,780.12

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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.