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Finding the Fourth Proportional to 3,820.53, 5,272.80 and 2,498.07

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Solution

The fourth proportional to 3,820.53, 5,272.80 and 2,498.07 is: 3,447.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.53 : 5,272.80 = 2,498.07 : x
  2. Step 2: Convert to fraction form
    3,820.53/5,272.80 = 2,498.07/x
  3. Step 3: Cross multiply
    3,820.53x = 5,272.80 × 2,498.07
  4. Step 4: Simplify right side
    3,820.53x = 13,171,823.50
  5. Step 5: Solve for x
    x = 13,171,823.50/3,820.53
  6. Step 6: Final answer
    x = 3,447.64

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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.