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Finding the Fourth Proportional to 3,784.88, 5,224.56 and 2,798.10

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Solution

The fourth proportional to 3,784.88, 5,224.56 and 2,798.10 is: 3,862.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.88 : 5,224.56 = 2,798.10 : x
  2. Step 2: Convert to fraction form
    3,784.88/5,224.56 = 2,798.10/x
  3. Step 3: Cross multiply
    3,784.88x = 5,224.56 × 2,798.10
  4. Step 4: Simplify right side
    3,784.88x = 14,618,841.34
  5. Step 5: Solve for x
    x = 14,618,841.34/3,784.88
  6. Step 6: Final answer
    x = 3,862.43

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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.