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Finding the Fourth Proportional to 4,735.87, 6,535.35 and 2,582.33

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Solution

The fourth proportional to 4,735.87, 6,535.35 and 2,582.33 is: 3,563.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.87 : 6,535.35 = 2,582.33 : x
  2. Step 2: Convert to fraction form
    4,735.87/6,535.35 = 2,582.33/x
  3. Step 3: Cross multiply
    4,735.87x = 6,535.35 × 2,582.33
  4. Step 4: Simplify right side
    4,735.87x = 16,876,422.20
  5. Step 5: Solve for x
    x = 16,876,422.20/4,735.87
  6. Step 6: Final answer
    x = 3,563.53

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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.