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Finding the Fourth Proportional to 5,205.93, 7,808.83 and 1,257.16

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Solution

The fourth proportional to 5,205.93, 7,808.83 and 1,257.16 is: 1,885.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.93 : 7,808.83 = 1,257.16 : x
  2. Step 2: Convert to fraction form
    5,205.93/7,808.83 = 1,257.16/x
  3. Step 3: Cross multiply
    5,205.93x = 7,808.83 × 1,257.16
  4. Step 4: Simplify right side
    5,205.93x = 9,816,948.72
  5. Step 5: Solve for x
    x = 9,816,948.72/5,205.93
  6. Step 6: Final answer
    x = 1,885.72

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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.