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Finding the Fourth Proportional to 4,325.40, 6,488.10 and 4,066.20

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Solution

The fourth proportional to 4,325.40, 6,488.10 and 4,066.20 is: 6,099.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,325.40 : 6,488.10 = 4,066.20 : x
  2. Step 2: Convert to fraction form
    4,325.40/6,488.10 = 4,066.20/x
  3. Step 3: Cross multiply
    4,325.40x = 6,488.10 × 4,066.20
  4. Step 4: Simplify right side
    4,325.40x = 26,381,912.22
  5. Step 5: Solve for x
    x = 26,381,912.22/4,325.40
  6. Step 6: Final answer
    x = 6,099.30

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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.