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Finding the Fourth Proportional to 4,770.72, 7,156 and 1,307.96

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Solution

The fourth proportional to 4,770.72, 7,156 and 1,307.96 is: 1,961.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.72 : 7,156 = 1,307.96 : x
  2. Step 2: Convert to fraction form
    4,770.72/7,156 = 1,307.96/x
  3. Step 3: Cross multiply
    4,770.72x = 7,156 × 1,307.96
  4. Step 4: Simplify right side
    4,770.72x = 9,359,761.76
  5. Step 5: Solve for x
    x = 9,359,761.76/4,770.72
  6. Step 6: Final answer
    x = 1,961.92

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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.