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Finding the Fourth Proportional to 5,734.84, 8,586.06 and 3,649.66

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Solution

The fourth proportional to 5,734.84, 8,586.06 and 3,649.66 is: 5,464.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.84 : 8,586.06 = 3,649.66 : x
  2. Step 2: Convert to fraction form
    5,734.84/8,586.06 = 3,649.66/x
  3. Step 3: Cross multiply
    5,734.84x = 8,586.06 × 3,649.66
  4. Step 4: Simplify right side
    5,734.84x = 31,336,199.74
  5. Step 5: Solve for x
    x = 31,336,199.74/5,734.84
  6. Step 6: Final answer
    x = 5,464.18

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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.