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Finding the Fourth Proportional to 5,218.30, 7,827.48 and 1,322.71

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Solution

The fourth proportional to 5,218.30, 7,827.48 and 1,322.71 is: 1,984.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.30 : 7,827.48 = 1,322.71 : x
  2. Step 2: Convert to fraction form
    5,218.30/7,827.48 = 1,322.71/x
  3. Step 3: Cross multiply
    5,218.30x = 7,827.48 × 1,322.71
  4. Step 4: Simplify right side
    5,218.30x = 10,353,466.50
  5. Step 5: Solve for x
    x = 10,353,466.50/5,218.30
  6. Step 6: Final answer
    x = 1,984.07

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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.