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Finding the Fourth Proportional to 5,770.62, 8,649.06 and 3,307.14

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Solution

The fourth proportional to 5,770.62, 8,649.06 and 3,307.14 is: 4,956.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.62 : 8,649.06 = 3,307.14 : x
  2. Step 2: Convert to fraction form
    5,770.62/8,649.06 = 3,307.14/x
  3. Step 3: Cross multiply
    5,770.62x = 8,649.06 × 3,307.14
  4. Step 4: Simplify right side
    5,770.62x = 28,603,652.29
  5. Step 5: Solve for x
    x = 28,603,652.29/5,770.62
  6. Step 6: Final answer
    x = 4,956.77

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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.