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Finding the Fourth Proportional to 5,205.77, 7,808.43 and 1,507.92

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Solution

The fourth proportional to 5,205.77, 7,808.43 and 1,507.92 is: 2,261.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.77 : 7,808.43 = 1,507.92 : x
  2. Step 2: Convert to fraction form
    5,205.77/7,808.43 = 1,507.92/x
  3. Step 3: Cross multiply
    5,205.77x = 7,808.43 × 1,507.92
  4. Step 4: Simplify right side
    5,205.77x = 11,774,464.14
  5. Step 5: Solve for x
    x = 11,774,464.14/5,205.77
  6. Step 6: Final answer
    x = 2,261.81

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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.