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Finding the Fourth Proportional to 2,586.48, 3,571.80 and 2,581.20

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Solution

The fourth proportional to 2,586.48, 3,571.80 and 2,581.20 is: 3,564.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.48 : 3,571.80 = 2,581.20 : x
  2. Step 2: Convert to fraction form
    2,586.48/3,571.80 = 2,581.20/x
  3. Step 3: Cross multiply
    2,586.48x = 3,571.80 × 2,581.20
  4. Step 4: Simplify right side
    2,586.48x = 9,219,530.16
  5. Step 5: Solve for x
    x = 9,219,530.16/2,586.48
  6. Step 6: Final answer
    x = 3,564.51

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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.