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Finding the Fourth Proportional to 5,225.30, 7,857.83 and 4,173.47

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Solution

The fourth proportional to 5,225.30, 7,857.83 and 4,173.47 is: 6,276.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,225.30 : 7,857.83 = 4,173.47 : x
  2. Step 2: Convert to fraction form
    5,225.30/7,857.83 = 4,173.47/x
  3. Step 3: Cross multiply
    5,225.30x = 7,857.83 × 4,173.47
  4. Step 4: Simplify right side
    5,225.30x = 32,794,388.91
  5. Step 5: Solve for x
    x = 32,794,388.91/5,225.30
  6. Step 6: Final answer
    x = 6,276.08

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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.