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Finding the Fourth Proportional to 5,803.47, 8,002.53 and 4,474.26

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Solution

The fourth proportional to 5,803.47, 8,002.53 and 4,474.26 is: 6,169.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,803.47 : 8,002.53 = 4,474.26 : x
  2. Step 2: Convert to fraction form
    5,803.47/8,002.53 = 4,474.26/x
  3. Step 3: Cross multiply
    5,803.47x = 8,002.53 × 4,474.26
  4. Step 4: Simplify right side
    5,803.47x = 35,805,399.88
  5. Step 5: Solve for x
    x = 35,805,399.88/5,803.47
  6. Step 6: Final answer
    x = 6,169.65

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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.