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Finding the Fourth Proportional to 5,331.71, 7,356.14 and 3,206.95

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Solution

The fourth proportional to 5,331.71, 7,356.14 and 3,206.95 is: 4,424.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,331.71 : 7,356.14 = 3,206.95 : x
  2. Step 2: Convert to fraction form
    5,331.71/7,356.14 = 3,206.95/x
  3. Step 3: Cross multiply
    5,331.71x = 7,356.14 × 3,206.95
  4. Step 4: Simplify right side
    5,331.71x = 23,590,726.47
  5. Step 5: Solve for x
    x = 23,590,726.47/5,331.71
  6. Step 6: Final answer
    x = 4,424.61

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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.