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Finding the Fourth Proportional to 4,822.17, 7,233.16 and 1,535.22

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Solution

The fourth proportional to 4,822.17, 7,233.16 and 1,535.22 is: 2,302.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822.17 : 7,233.16 = 1,535.22 : x
  2. Step 2: Convert to fraction form
    4,822.17/7,233.16 = 1,535.22/x
  3. Step 3: Cross multiply
    4,822.17x = 7,233.16 × 1,535.22
  4. Step 4: Simplify right side
    4,822.17x = 11,104,491.90
  5. Step 5: Solve for x
    x = 11,104,491.90/4,822.17
  6. Step 6: Final answer
    x = 2,302.80

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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.