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Finding the Fourth Proportional to 5,905.18, 8,857.77 and 5,648.94

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Solution

The fourth proportional to 5,905.18, 8,857.77 and 5,648.94 is: 8,473.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,905.18 : 8,857.77 = 5,648.94 : x
  2. Step 2: Convert to fraction form
    5,905.18/8,857.77 = 5,648.94/x
  3. Step 3: Cross multiply
    5,905.18x = 8,857.77 × 5,648.94
  4. Step 4: Simplify right side
    5,905.18x = 50,037,011.26
  5. Step 5: Solve for x
    x = 50,037,011.26/5,905.18
  6. Step 6: Final answer
    x = 8,473.41

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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.