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Finding the Fourth Proportional to 3,680.83, 5,521.74 and 1,340.53

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Solution

The fourth proportional to 3,680.83, 5,521.74 and 1,340.53 is: 2,010.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,680.83 : 5,521.74 = 1,340.53 : x
  2. Step 2: Convert to fraction form
    3,680.83/5,521.74 = 1,340.53/x
  3. Step 3: Cross multiply
    3,680.83x = 5,521.74 × 1,340.53
  4. Step 4: Simplify right side
    3,680.83x = 7,402,058.12
  5. Step 5: Solve for x
    x = 7,402,058.12/3,680.83
  6. Step 6: Final answer
    x = 2,010.98

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