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Finding the Fourth Proportional to 5,756.24, 8,637.30 and 2,468.46

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Solution

The fourth proportional to 5,756.24, 8,637.30 and 2,468.46 is: 3,703.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.24 : 8,637.30 = 2,468.46 : x
  2. Step 2: Convert to fraction form
    5,756.24/8,637.30 = 2,468.46/x
  3. Step 3: Cross multiply
    5,756.24x = 8,637.30 × 2,468.46
  4. Step 4: Simplify right side
    5,756.24x = 21,320,829.56
  5. Step 5: Solve for x
    x = 21,320,829.56/5,756.24
  6. Step 6: Final answer
    x = 3,703.95

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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.