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Finding the Fourth Proportional to 4,259.54, 5,878.86 and 2,582.12

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Solution

The fourth proportional to 4,259.54, 5,878.86 and 2,582.12 is: 3,563.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,259.54 : 5,878.86 = 2,582.12 : x
  2. Step 2: Convert to fraction form
    4,259.54/5,878.86 = 2,582.12/x
  3. Step 3: Cross multiply
    4,259.54x = 5,878.86 × 2,582.12
  4. Step 4: Simplify right side
    4,259.54x = 15,179,921.98
  5. Step 5: Solve for x
    x = 15,179,921.98/4,259.54
  6. Step 6: Final answer
    x = 3,563.75

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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.