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Finding the Fourth Proportional to 4,651.38, 6,977.06 and 1,188.62

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Solution

The fourth proportional to 4,651.38, 6,977.06 and 1,188.62 is: 1,782.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.38 : 6,977.06 = 1,188.62 : x
  2. Step 2: Convert to fraction form
    4,651.38/6,977.06 = 1,188.62/x
  3. Step 3: Cross multiply
    4,651.38x = 6,977.06 × 1,188.62
  4. Step 4: Simplify right side
    4,651.38x = 8,293,073.06
  5. Step 5: Solve for x
    x = 8,293,073.06/4,651.38
  6. Step 6: Final answer
    x = 1,782.93

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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.