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Finding the Fourth Proportional to 5,803.98, 8,709 and 5,490.30

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Solution

The fourth proportional to 5,803.98, 8,709 and 5,490.30 is: 8,238.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,803.98 : 8,709 = 5,490.30 : x
  2. Step 2: Convert to fraction form
    5,803.98/8,709 = 5,490.30/x
  3. Step 3: Cross multiply
    5,803.98x = 8,709 × 5,490.30
  4. Step 4: Simplify right side
    5,803.98x = 47,815,022.70
  5. Step 5: Solve for x
    x = 47,815,022.70/5,803.98
  6. Step 6: Final answer
    x = 8,238.32

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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.