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Finding the Fourth Proportional to 5,803.52, 8,705.72 and 2,340.80

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Solution

The fourth proportional to 5,803.52, 8,705.72 and 2,340.80 is: 3,511.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,803.52 : 8,705.72 = 2,340.80 : x
  2. Step 2: Convert to fraction form
    5,803.52/8,705.72 = 2,340.80/x
  3. Step 3: Cross multiply
    5,803.52x = 8,705.72 × 2,340.80
  4. Step 4: Simplify right side
    5,803.52x = 20,378,349.38
  5. Step 5: Solve for x
    x = 20,378,349.38/5,803.52
  6. Step 6: Final answer
    x = 3,511.38

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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.