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Finding the Fourth Proportional to 5,486.60, 8,232.52 and 2,564.48

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Solution

The fourth proportional to 5,486.60, 8,232.52 and 2,564.48 is: 3,847.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486.60 : 8,232.52 = 2,564.48 : x
  2. Step 2: Convert to fraction form
    5,486.60/8,232.52 = 2,564.48/x
  3. Step 3: Cross multiply
    5,486.60x = 8,232.52 × 2,564.48
  4. Step 4: Simplify right side
    5,486.60x = 21,112,132.89
  5. Step 5: Solve for x
    x = 21,112,132.89/5,486.60
  6. Step 6: Final answer
    x = 3,847.94

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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.