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Finding the Fourth Proportional to 3,498.53, 4,827.20 and 2,005.63

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Solution

The fourth proportional to 3,498.53, 4,827.20 and 2,005.63 is: 2,767.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.53 : 4,827.20 = 2,005.63 : x
  2. Step 2: Convert to fraction form
    3,498.53/4,827.20 = 2,005.63/x
  3. Step 3: Cross multiply
    3,498.53x = 4,827.20 × 2,005.63
  4. Step 4: Simplify right side
    3,498.53x = 9,681,555.04
  5. Step 5: Solve for x
    x = 9,681,555.04/3,498.53
  6. Step 6: Final answer
    x = 2,767.32

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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.