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Finding the Fourth Proportional to 3,251.54, 4,870.83 and 3,024.02

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Solution

The fourth proportional to 3,251.54, 4,870.83 and 3,024.02 is: 4,530.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,251.54 : 4,870.83 = 3,024.02 : x
  2. Step 2: Convert to fraction form
    3,251.54/4,870.83 = 3,024.02/x
  3. Step 3: Cross multiply
    3,251.54x = 4,870.83 × 3,024.02
  4. Step 4: Simplify right side
    3,251.54x = 14,729,487.34
  5. Step 5: Solve for x
    x = 14,729,487.34/3,251.54
  6. Step 6: Final answer
    x = 4,530.00

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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.