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Finding the Fourth Proportional to 4,682.17, 7,020.90 and 1,561.07

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Solution

The fourth proportional to 4,682.17, 7,020.90 and 1,561.07 is: 2,340.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682.17 : 7,020.90 = 1,561.07 : x
  2. Step 2: Convert to fraction form
    4,682.17/7,020.90 = 1,561.07/x
  3. Step 3: Cross multiply
    4,682.17x = 7,020.90 × 1,561.07
  4. Step 4: Simplify right side
    4,682.17x = 10,960,116.36
  5. Step 5: Solve for x
    x = 10,960,116.36/4,682.17
  6. Step 6: Final answer
    x = 2,340.82

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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.