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Finding the Fourth Proportional to 3,569.63, 4,926.15 and 1,997.69

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Solution

The fourth proportional to 3,569.63, 4,926.15 and 1,997.69 is: 2,756.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569.63 : 4,926.15 = 1,997.69 : x
  2. Step 2: Convert to fraction form
    3,569.63/4,926.15 = 1,997.69/x
  3. Step 3: Cross multiply
    3,569.63x = 4,926.15 × 1,997.69
  4. Step 4: Simplify right side
    3,569.63x = 9,840,895.96
  5. Step 5: Solve for x
    x = 9,840,895.96/3,569.63
  6. Step 6: Final answer
    x = 2,756.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.