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Finding the Fourth Proportional to 4,665.07, 6,997.58 and 1,377.88

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Solution

The fourth proportional to 4,665.07, 6,997.58 and 1,377.88 is: 2,066.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665.07 : 6,997.58 = 1,377.88 : x
  2. Step 2: Convert to fraction form
    4,665.07/6,997.58 = 1,377.88/x
  3. Step 3: Cross multiply
    4,665.07x = 6,997.58 × 1,377.88
  4. Step 4: Simplify right side
    4,665.07x = 9,641,818.64
  5. Step 5: Solve for x
    x = 9,641,818.64/4,665.07
  6. Step 6: Final answer
    x = 2,066.81

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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.