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Finding the Fourth Proportional to 4,561.70, 6,842.55 and 4,151.30

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Solution

The fourth proportional to 4,561.70, 6,842.55 and 4,151.30 is: 6,226.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,561.70 : 6,842.55 = 4,151.30 : x
  2. Step 2: Convert to fraction form
    4,561.70/6,842.55 = 4,151.30/x
  3. Step 3: Cross multiply
    4,561.70x = 6,842.55 × 4,151.30
  4. Step 4: Simplify right side
    4,561.70x = 28,405,477.82
  5. Step 5: Solve for x
    x = 28,405,477.82/4,561.70
  6. Step 6: Final answer
    x = 6,226.95

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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.