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Finding the Fourth Proportional to 4,770.05, 7,152.77 and 1,648.96

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Solution

The fourth proportional to 4,770.05, 7,152.77 and 1,648.96 is: 2,472.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.05 : 7,152.77 = 1,648.96 : x
  2. Step 2: Convert to fraction form
    4,770.05/7,152.77 = 1,648.96/x
  3. Step 3: Cross multiply
    4,770.05x = 7,152.77 × 1,648.96
  4. Step 4: Simplify right side
    4,770.05x = 11,794,617.86
  5. Step 5: Solve for x
    x = 11,794,617.86/4,770.05
  6. Step 6: Final answer
    x = 2,472.64

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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.