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Finding the Fourth Proportional to 5,770.16, 8,662.68 and 4,953.68

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Solution

The fourth proportional to 5,770.16, 8,662.68 and 4,953.68 is: 7,436.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.16 : 8,662.68 = 4,953.68 : x
  2. Step 2: Convert to fraction form
    5,770.16/8,662.68 = 4,953.68/x
  3. Step 3: Cross multiply
    5,770.16x = 8,662.68 × 4,953.68
  4. Step 4: Simplify right side
    5,770.16x = 42,912,144.66
  5. Step 5: Solve for x
    x = 42,912,144.66/5,770.16
  6. Step 6: Final answer
    x = 7,436.91

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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.