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Finding the Fourth Proportional to 5,205.38, 7,809.21 and 1,507.76

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Solution

The fourth proportional to 5,205.38, 7,809.21 and 1,507.76 is: 2,261.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.38 : 7,809.21 = 1,507.76 : x
  2. Step 2: Convert to fraction form
    5,205.38/7,809.21 = 1,507.76/x
  3. Step 3: Cross multiply
    5,205.38x = 7,809.21 × 1,507.76
  4. Step 4: Simplify right side
    5,205.38x = 11,774,414.47
  5. Step 5: Solve for x
    x = 11,774,414.47/5,205.38
  6. Step 6: Final answer
    x = 2,261.97

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