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Finding the Fourth Proportional to 3,526.42, 4,866.49 and 2,034.31

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Solution

The fourth proportional to 3,526.42, 4,866.49 and 2,034.31 is: 2,807.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,526.42 : 4,866.49 = 2,034.31 : x
  2. Step 2: Convert to fraction form
    3,526.42/4,866.49 = 2,034.31/x
  3. Step 3: Cross multiply
    3,526.42x = 4,866.49 × 2,034.31
  4. Step 4: Simplify right side
    3,526.42x = 9,899,924.94
  5. Step 5: Solve for x
    x = 9,899,924.94/3,526.42
  6. Step 6: Final answer
    x = 2,807.36

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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.