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Finding the Fourth Proportional to 5,946.17, 8,911.56 and 5,118.89

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Solution

The fourth proportional to 5,946.17, 8,911.56 and 5,118.89 is: 7,671.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.17 : 8,911.56 = 5,118.89 : x
  2. Step 2: Convert to fraction form
    5,946.17/8,911.56 = 5,118.89/x
  3. Step 3: Cross multiply
    5,946.17x = 8,911.56 × 5,118.89
  4. Step 4: Simplify right side
    5,946.17x = 45,617,295.37
  5. Step 5: Solve for x
    x = 45,617,295.37/5,946.17
  6. Step 6: Final answer
    x = 7,671.71

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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.