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Finding the Fourth Proportional to 5,477.17, 8,204.13 and 5,285.35

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Solution

The fourth proportional to 5,477.17, 8,204.13 and 5,285.35 is: 7,916.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,477.17 : 8,204.13 = 5,285.35 : x
  2. Step 2: Convert to fraction form
    5,477.17/8,204.13 = 5,285.35/x
  3. Step 3: Cross multiply
    5,477.17x = 8,204.13 × 5,285.35
  4. Step 4: Simplify right side
    5,477.17x = 43,361,708.75
  5. Step 5: Solve for x
    x = 43,361,708.75/5,477.17
  6. Step 6: Final answer
    x = 7,916.81

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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.