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Finding the Fourth Proportional to 6,532.34, 9,791.80 and 2,582.01

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Solution

The fourth proportional to 6,532.34, 9,791.80 and 2,582.01 is: 3,870.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.34 : 9,791.80 = 2,582.01 : x
  2. Step 2: Convert to fraction form
    6,532.34/9,791.80 = 2,582.01/x
  3. Step 3: Cross multiply
    6,532.34x = 9,791.80 × 2,582.01
  4. Step 4: Simplify right side
    6,532.34x = 25,282,519.06
  5. Step 5: Solve for x
    x = 25,282,519.06/6,532.34
  6. Step 6: Final answer
    x = 3,870.36

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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.