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Finding the Fourth Proportional to 4,777.56, 6,595.20 and 3,206.52

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Solution

The fourth proportional to 4,777.56, 6,595.20 and 3,206.52 is: 4,426.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.56 : 6,595.20 = 3,206.52 : x
  2. Step 2: Convert to fraction form
    4,777.56/6,595.20 = 3,206.52/x
  3. Step 3: Cross multiply
    4,777.56x = 6,595.20 × 3,206.52
  4. Step 4: Simplify right side
    4,777.56x = 21,147,640.70
  5. Step 5: Solve for x
    x = 21,147,640.70/4,777.56
  6. Step 6: Final answer
    x = 4,426.45

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