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Finding the Fourth Proportional to 5,705.96, 8,558.29 and 1,545.73

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Solution

The fourth proportional to 5,705.96, 8,558.29 and 1,545.73 is: 2,318.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.96 : 8,558.29 = 1,545.73 : x
  2. Step 2: Convert to fraction form
    5,705.96/8,558.29 = 1,545.73/x
  3. Step 3: Cross multiply
    5,705.96x = 8,558.29 × 1,545.73
  4. Step 4: Simplify right side
    5,705.96x = 13,228,805.60
  5. Step 5: Solve for x
    x = 13,228,805.60/5,705.96
  6. Step 6: Final answer
    x = 2,318.42

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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.