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Finding the Fourth Proportional to 3,498.39, 4,832.26 and 3,080.13

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Solution

The fourth proportional to 3,498.39, 4,832.26 and 3,080.13 is: 4,254.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.39 : 4,832.26 = 3,080.13 : x
  2. Step 2: Convert to fraction form
    3,498.39/4,832.26 = 3,080.13/x
  3. Step 3: Cross multiply
    3,498.39x = 4,832.26 × 3,080.13
  4. Step 4: Simplify right side
    3,498.39x = 14,883,963.17
  5. Step 5: Solve for x
    x = 14,883,963.17/3,498.39
  6. Step 6: Final answer
    x = 4,254.52

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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.