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Finding the Fourth Proportional to 4,832.24, 7,246.80 and 1,545.20

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Solution

The fourth proportional to 4,832.24, 7,246.80 and 1,545.20 is: 2,317.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,832.24 : 7,246.80 = 1,545.20 : x
  2. Step 2: Convert to fraction form
    4,832.24/7,246.80 = 1,545.20/x
  3. Step 3: Cross multiply
    4,832.24x = 7,246.80 × 1,545.20
  4. Step 4: Simplify right side
    4,832.24x = 11,197,755.36
  5. Step 5: Solve for x
    x = 11,197,755.36/4,832.24
  6. Step 6: Final answer
    x = 2,317.30

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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.