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Finding the Fourth Proportional to 3,682.90, 5,521.07 and 1,342.46

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Solution

The fourth proportional to 3,682.90, 5,521.07 and 1,342.46 is: 2,012.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.90 : 5,521.07 = 1,342.46 : x
  2. Step 2: Convert to fraction form
    3,682.90/5,521.07 = 1,342.46/x
  3. Step 3: Cross multiply
    3,682.90x = 5,521.07 × 1,342.46
  4. Step 4: Simplify right side
    3,682.90x = 7,411,815.63
  5. Step 5: Solve for x
    x = 7,411,815.63/3,682.90
  6. Step 6: Final answer
    x = 2,012.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.