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Finding the Fourth Proportional to 5,498.16, 8,241.48 and 2,574

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Solution

The fourth proportional to 5,498.16, 8,241.48 and 2,574 is: 3,858.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498.16 : 8,241.48 = 2,574 : x
  2. Step 2: Convert to fraction form
    5,498.16/8,241.48 = 2,574/x
  3. Step 3: Cross multiply
    5,498.16x = 8,241.48 × 2,574
  4. Step 4: Simplify right side
    5,498.16x = 21,213,569.52
  5. Step 5: Solve for x
    x = 21,213,569.52/5,498.16
  6. Step 6: Final answer
    x = 3,858.30

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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.