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Finding the Fourth Proportional to 5,228.66, 7,214.14 and 3,102.41

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Solution

The fourth proportional to 5,228.66, 7,214.14 and 3,102.41 is: 4,280.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228.66 : 7,214.14 = 3,102.41 : x
  2. Step 2: Convert to fraction form
    5,228.66/7,214.14 = 3,102.41/x
  3. Step 3: Cross multiply
    5,228.66x = 7,214.14 × 3,102.41
  4. Step 4: Simplify right side
    5,228.66x = 22,381,230.36
  5. Step 5: Solve for x
    x = 22,381,230.36/5,228.66
  6. Step 6: Final answer
    x = 4,280.49

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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.