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Finding the Fourth Proportional to 5,228.07, 7,212.02 and 4,234.47

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Solution

The fourth proportional to 5,228.07, 7,212.02 and 4,234.47 is: 5,841.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228.07 : 7,212.02 = 4,234.47 : x
  2. Step 2: Convert to fraction form
    5,228.07/7,212.02 = 4,234.47/x
  3. Step 3: Cross multiply
    5,228.07x = 7,212.02 × 4,234.47
  4. Step 4: Simplify right side
    5,228.07x = 30,539,061.16
  5. Step 5: Solve for x
    x = 30,539,061.16/5,228.07
  6. Step 6: Final answer
    x = 5,841.36

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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.