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Finding the Fourth Proportional to 5,864.72, 8,780.34 and 5,405.36

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Solution

The fourth proportional to 5,864.72, 8,780.34 and 5,405.36 is: 8,092.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,864.72 : 8,780.34 = 5,405.36 : x
  2. Step 2: Convert to fraction form
    5,864.72/8,780.34 = 5,405.36/x
  3. Step 3: Cross multiply
    5,864.72x = 8,780.34 × 5,405.36
  4. Step 4: Simplify right side
    5,864.72x = 47,460,898.62
  5. Step 5: Solve for x
    x = 47,460,898.62/5,864.72
  6. Step 6: Final answer
    x = 8,092.61

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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.