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Finding the Fourth Proportional to 3,056.47, 4,583.33 and 864.68

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Solution

The fourth proportional to 3,056.47, 4,583.33 and 864.68 is: 1,296.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,056.47 : 4,583.33 = 864.68 : x
  2. Step 2: Convert to fraction form
    3,056.47/4,583.33 = 864.68/x
  3. Step 3: Cross multiply
    3,056.47x = 4,583.33 × 864.68
  4. Step 4: Simplify right side
    3,056.47x = 3,963,113.78
  5. Step 5: Solve for x
    x = 3,963,113.78/3,056.47
  6. Step 6: Final answer
    x = 1,296.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.