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Finding the Fourth Proportional to 5,732.66, 7,911.72 and 3,495.86

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Solution

The fourth proportional to 5,732.66, 7,911.72 and 3,495.86 is: 4,824.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.66 : 7,911.72 = 3,495.86 : x
  2. Step 2: Convert to fraction form
    5,732.66/7,911.72 = 3,495.86/x
  3. Step 3: Cross multiply
    5,732.66x = 7,911.72 × 3,495.86
  4. Step 4: Simplify right side
    5,732.66x = 27,658,265.48
  5. Step 5: Solve for x
    x = 27,658,265.48/5,732.66
  6. Step 6: Final answer
    x = 4,824.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.