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Finding the Fourth Proportional to 5,218.36, 7,827.54 and 2,444.20

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Solution

The fourth proportional to 5,218.36, 7,827.54 and 2,444.20 is: 3,666.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.36 : 7,827.54 = 2,444.20 : x
  2. Step 2: Convert to fraction form
    5,218.36/7,827.54 = 2,444.20/x
  3. Step 3: Cross multiply
    5,218.36x = 7,827.54 × 2,444.20
  4. Step 4: Simplify right side
    5,218.36x = 19,132,073.27
  5. Step 5: Solve for x
    x = 19,132,073.27/5,218.36
  6. Step 6: Final answer
    x = 3,666.30

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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.