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Finding the Fourth Proportional to 4,665.60, 6,998.10 and 1,378.72

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Solution

The fourth proportional to 4,665.60, 6,998.10 and 1,378.72 is: 2,067.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665.60 : 6,998.10 = 1,378.72 : x
  2. Step 2: Convert to fraction form
    4,665.60/6,998.10 = 1,378.72/x
  3. Step 3: Cross multiply
    4,665.60x = 6,998.10 × 1,378.72
  4. Step 4: Simplify right side
    4,665.60x = 9,648,424.01
  5. Step 5: Solve for x
    x = 9,648,424.01/4,665.60
  6. Step 6: Final answer
    x = 2,067.99

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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.