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Finding the Fourth Proportional to 4,770.96, 7,156 and 1,484.16

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Solution

The fourth proportional to 4,770.96, 7,156 and 1,484.16 is: 2,226.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.96 : 7,156 = 1,484.16 : x
  2. Step 2: Convert to fraction form
    4,770.96/7,156 = 1,484.16/x
  3. Step 3: Cross multiply
    4,770.96x = 7,156 × 1,484.16
  4. Step 4: Simplify right side
    4,770.96x = 10,620,648.96
  5. Step 5: Solve for x
    x = 10,620,648.96/4,770.96
  6. Step 6: Final answer
    x = 2,226.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.