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Finding the Fourth Proportional to 5,470.38, 7,530.12 and 4,770.54

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Solution

The fourth proportional to 5,470.38, 7,530.12 and 4,770.54 is: 6,566.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.38 : 7,530.12 = 4,770.54 : x
  2. Step 2: Convert to fraction form
    5,470.38/7,530.12 = 4,770.54/x
  3. Step 3: Cross multiply
    5,470.38x = 7,530.12 × 4,770.54
  4. Step 4: Simplify right side
    5,470.38x = 35,922,738.66
  5. Step 5: Solve for x
    x = 35,922,738.66/5,470.38
  6. Step 6: Final answer
    x = 6,566.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.