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Finding the Fourth Proportional to 3,530.82, 4,872.47 and 1,937.51

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Solution

The fourth proportional to 3,530.82, 4,872.47 and 1,937.51 is: 2,673.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.82 : 4,872.47 = 1,937.51 : x
  2. Step 2: Convert to fraction form
    3,530.82/4,872.47 = 1,937.51/x
  3. Step 3: Cross multiply
    3,530.82x = 4,872.47 × 1,937.51
  4. Step 4: Simplify right side
    3,530.82x = 9,440,425.30
  5. Step 5: Solve for x
    x = 9,440,425.30/3,530.82
  6. Step 6: Final answer
    x = 2,673.72

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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.