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Finding the Fourth Proportional to 3,823.49, 5,274.19 and 2,404.93

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Solution

The fourth proportional to 3,823.49, 5,274.19 and 2,404.93 is: 3,317.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.49 : 5,274.19 = 2,404.93 : x
  2. Step 2: Convert to fraction form
    3,823.49/5,274.19 = 2,404.93/x
  3. Step 3: Cross multiply
    3,823.49x = 5,274.19 × 2,404.93
  4. Step 4: Simplify right side
    3,823.49x = 12,684,057.76
  5. Step 5: Solve for x
    x = 12,684,057.76/3,823.49
  6. Step 6: Final answer
    x = 3,317.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.