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Finding the Fourth Proportional to 5,323.14, 7,346.82 and 4,061.82

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Solution

The fourth proportional to 5,323.14, 7,346.82 and 4,061.82 is: 5,605.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,323.14 : 7,346.82 = 4,061.82 : x
  2. Step 2: Convert to fraction form
    5,323.14/7,346.82 = 4,061.82/x
  3. Step 3: Cross multiply
    5,323.14x = 7,346.82 × 4,061.82
  4. Step 4: Simplify right side
    5,323.14x = 29,841,460.41
  5. Step 5: Solve for x
    x = 29,841,460.41/5,323.14
  6. Step 6: Final answer
    x = 5,605.99

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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.