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Finding the Fourth Proportional to 5,734.84, 8,586.04 and 3,649.68

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Solution

The fourth proportional to 5,734.84, 8,586.04 and 3,649.68 is: 5,464.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.84 : 8,586.04 = 3,649.68 : x
  2. Step 2: Convert to fraction form
    5,734.84/8,586.04 = 3,649.68/x
  3. Step 3: Cross multiply
    5,734.84x = 8,586.04 × 3,649.68
  4. Step 4: Simplify right side
    5,734.84x = 31,336,298.47
  5. Step 5: Solve for x
    x = 31,336,298.47/5,734.84
  6. Step 6: Final answer
    x = 5,464.20

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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.