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Finding the Fourth Proportional to 5,066.85, 7,601.22 and 1,780.14

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Solution

The fourth proportional to 5,066.85, 7,601.22 and 1,780.14 is: 2,670.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,066.85 : 7,601.22 = 1,780.14 : x
  2. Step 2: Convert to fraction form
    5,066.85/7,601.22 = 1,780.14/x
  3. Step 3: Cross multiply
    5,066.85x = 7,601.22 × 1,780.14
  4. Step 4: Simplify right side
    5,066.85x = 13,531,235.77
  5. Step 5: Solve for x
    x = 13,531,235.77/5,066.85
  6. Step 6: Final answer
    x = 2,670.54

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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.