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Finding the Fourth Proportional to 5,066.40, 7,599.60 and 4,461.60

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Solution

The fourth proportional to 5,066.40, 7,599.60 and 4,461.60 is: 6,692.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,066.40 : 7,599.60 = 4,461.60 : x
  2. Step 2: Convert to fraction form
    5,066.40/7,599.60 = 4,461.60/x
  3. Step 3: Cross multiply
    5,066.40x = 7,599.60 × 4,461.60
  4. Step 4: Simplify right side
    5,066.40x = 33,906,375.36
  5. Step 5: Solve for x
    x = 33,906,375.36/5,066.40
  6. Step 6: Final answer
    x = 6,692.40

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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.