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Finding the Fourth Proportional to 3,056.06, 4,583.10 and 864.20

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Solution

The fourth proportional to 3,056.06, 4,583.10 and 864.20 is: 1,296.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,056.06 : 4,583.10 = 864.20 : x
  2. Step 2: Convert to fraction form
    3,056.06/4,583.10 = 864.20/x
  3. Step 3: Cross multiply
    3,056.06x = 4,583.10 × 864.20
  4. Step 4: Simplify right side
    3,056.06x = 3,960,715.02
  5. Step 5: Solve for x
    x = 3,960,715.02/3,056.06
  6. Step 6: Final answer
    x = 1,296.02

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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.