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Finding the Fourth Proportional to 5,357.63, 8,041.64 and 2,586.25

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Solution

The fourth proportional to 5,357.63, 8,041.64 and 2,586.25 is: 3,881.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,357.63 : 8,041.64 = 2,586.25 : x
  2. Step 2: Convert to fraction form
    5,357.63/8,041.64 = 2,586.25/x
  3. Step 3: Cross multiply
    5,357.63x = 8,041.64 × 2,586.25
  4. Step 4: Simplify right side
    5,357.63x = 20,797,688.57
  5. Step 5: Solve for x
    x = 20,797,688.57/5,357.63
  6. Step 6: Final answer
    x = 3,881.88

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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.