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Finding the Fourth Proportional to 5,803.30, 8,704.95 and 4,175.20

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Solution

The fourth proportional to 5,803.30, 8,704.95 and 4,175.20 is: 6,262.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,803.30 : 8,704.95 = 4,175.20 : x
  2. Step 2: Convert to fraction form
    5,803.30/8,704.95 = 4,175.20/x
  3. Step 3: Cross multiply
    5,803.30x = 8,704.95 × 4,175.20
  4. Step 4: Simplify right side
    5,803.30x = 36,344,907.24
  5. Step 5: Solve for x
    x = 36,344,907.24/5,803.30
  6. Step 6: Final answer
    x = 6,262.80

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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.