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Finding the Fourth Proportional to 5,228.70, 7,219.17 and 3,657.30

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Solution

The fourth proportional to 5,228.70, 7,219.17 and 3,657.30 is: 5,049.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228.70 : 7,219.17 = 3,657.30 : x
  2. Step 2: Convert to fraction form
    5,228.70/7,219.17 = 3,657.30/x
  3. Step 3: Cross multiply
    5,228.70x = 7,219.17 × 3,657.30
  4. Step 4: Simplify right side
    5,228.70x = 26,402,670.44
  5. Step 5: Solve for x
    x = 26,402,670.44/5,228.70
  6. Step 6: Final answer
    x = 5,049.57

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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.