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Finding the Fourth Proportional to 3,218.53, 4,828.47 and 1,027.42

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Solution

The fourth proportional to 3,218.53, 4,828.47 and 1,027.42 is: 1,541.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218.53 : 4,828.47 = 1,027.42 : x
  2. Step 2: Convert to fraction form
    3,218.53/4,828.47 = 1,027.42/x
  3. Step 3: Cross multiply
    3,218.53x = 4,828.47 × 1,027.42
  4. Step 4: Simplify right side
    3,218.53x = 4,960,866.65
  5. Step 5: Solve for x
    x = 4,960,866.65/3,218.53
  6. Step 6: Final answer
    x = 1,541.35

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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.