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Finding the Fourth Proportional to 5,353.14, 8,030.10 and 2,066.40

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Solution

The fourth proportional to 5,353.14, 8,030.10 and 2,066.40 is: 3,099.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,353.14 : 8,030.10 = 2,066.40 : x
  2. Step 2: Convert to fraction form
    5,353.14/8,030.10 = 2,066.40/x
  3. Step 3: Cross multiply
    5,353.14x = 8,030.10 × 2,066.40
  4. Step 4: Simplify right side
    5,353.14x = 16,593,398.64
  5. Step 5: Solve for x
    x = 16,593,398.64/5,353.14
  6. Step 6: Final answer
    x = 3,099.75

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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.