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Finding the Fourth Proportional to 5,470.95, 8,206.47 and 3,396.99

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Solution

The fourth proportional to 5,470.95, 8,206.47 and 3,396.99 is: 5,095.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.95 : 8,206.47 = 3,396.99 : x
  2. Step 2: Convert to fraction form
    5,470.95/8,206.47 = 3,396.99/x
  3. Step 3: Cross multiply
    5,470.95x = 8,206.47 × 3,396.99
  4. Step 4: Simplify right side
    5,470.95x = 27,877,296.53
  5. Step 5: Solve for x
    x = 27,877,296.53/5,470.95
  6. Step 6: Final answer
    x = 5,095.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.