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Finding the Fourth Proportional to 5,357.68, 8,033.46 and 2,582.08

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Solution

The fourth proportional to 5,357.68, 8,033.46 and 2,582.08 is: 3,871.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,357.68 : 8,033.46 = 2,582.08 : x
  2. Step 2: Convert to fraction form
    5,357.68/8,033.46 = 2,582.08/x
  3. Step 3: Cross multiply
    5,357.68x = 8,033.46 × 2,582.08
  4. Step 4: Simplify right side
    5,357.68x = 20,743,036.40
  5. Step 5: Solve for x
    x = 20,743,036.40/5,357.68
  6. Step 6: Final answer
    x = 3,871.65

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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.