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Finding the Fourth Proportional to 4,261.70, 5,879.82 and 2,582.60

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Solution

The fourth proportional to 4,261.70, 5,879.82 and 2,582.60 is: 3,563.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,261.70 : 5,879.82 = 2,582.60 : x
  2. Step 2: Convert to fraction form
    4,261.70/5,879.82 = 2,582.60/x
  3. Step 3: Cross multiply
    4,261.70x = 5,879.82 × 2,582.60
  4. Step 4: Simplify right side
    4,261.70x = 15,185,223.13
  5. Step 5: Solve for x
    x = 15,185,223.13/4,261.70
  6. Step 6: Final answer
    x = 3,563.18

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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.