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Finding the Fourth Proportional to 4,821.68, 7,233.61 and 1,534.96

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Solution

The fourth proportional to 4,821.68, 7,233.61 and 1,534.96 is: 2,302.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,821.68 : 7,233.61 = 1,534.96 : x
  2. Step 2: Convert to fraction form
    4,821.68/7,233.61 = 1,534.96/x
  3. Step 3: Cross multiply
    4,821.68x = 7,233.61 × 1,534.96
  4. Step 4: Simplify right side
    4,821.68x = 11,103,302.01
  5. Step 5: Solve for x
    x = 11,103,302.01/4,821.68
  6. Step 6: Final answer
    x = 2,302.79

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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.