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Finding the Fourth Proportional to 5,748.36, 8,622.84 and 2,459.16

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Solution

The fourth proportional to 5,748.36, 8,622.84 and 2,459.16 is: 3,688.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.36 : 8,622.84 = 2,459.16 : x
  2. Step 2: Convert to fraction form
    5,748.36/8,622.84 = 2,459.16/x
  3. Step 3: Cross multiply
    5,748.36x = 8,622.84 × 2,459.16
  4. Step 4: Simplify right side
    5,748.36x = 21,204,943.21
  5. Step 5: Solve for x
    x = 21,204,943.21/5,748.36
  6. Step 6: Final answer
    x = 3,688.87

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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.