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Finding the Fourth Proportional to 5,570.56, 7,669.84 and 4,729.52

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Solution

The fourth proportional to 5,570.56, 7,669.84 and 4,729.52 is: 6,511.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,570.56 : 7,669.84 = 4,729.52 : x
  2. Step 2: Convert to fraction form
    5,570.56/7,669.84 = 4,729.52/x
  3. Step 3: Cross multiply
    5,570.56x = 7,669.84 × 4,729.52
  4. Step 4: Simplify right side
    5,570.56x = 36,274,661.68
  5. Step 5: Solve for x
    x = 36,274,661.68/5,570.56
  6. Step 6: Final answer
    x = 6,511.85

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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.