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Finding the Fourth Proportional to 5,266.60, 7,899.90 and 4,306.60

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Solution

The fourth proportional to 5,266.60, 7,899.90 and 4,306.60 is: 6,459.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.60 : 7,899.90 = 4,306.60 : x
  2. Step 2: Convert to fraction form
    5,266.60/7,899.90 = 4,306.60/x
  3. Step 3: Cross multiply
    5,266.60x = 7,899.90 × 4,306.60
  4. Step 4: Simplify right side
    5,266.60x = 34,021,709.34
  5. Step 5: Solve for x
    x = 34,021,709.34/5,266.60
  6. Step 6: Final answer
    x = 6,459.90

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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.