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Finding the Fourth Proportional to 5,797.61, 8,696.30 and 5,346.13

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Solution

The fourth proportional to 5,797.61, 8,696.30 and 5,346.13 is: 8,019.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.61 : 8,696.30 = 5,346.13 : x
  2. Step 2: Convert to fraction form
    5,797.61/8,696.30 = 5,346.13/x
  3. Step 3: Cross multiply
    5,797.61x = 8,696.30 × 5,346.13
  4. Step 4: Simplify right side
    5,797.61x = 46,491,550.32
  5. Step 5: Solve for x
    x = 46,491,550.32/5,797.61
  6. Step 6: Final answer
    x = 8,019.09

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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.