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Finding the Fourth Proportional to 5,165.78, 7,128.14 and 3,490.83

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Solution

The fourth proportional to 5,165.78, 7,128.14 and 3,490.83 is: 4,816.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.78 : 7,128.14 = 3,490.83 : x
  2. Step 2: Convert to fraction form
    5,165.78/7,128.14 = 3,490.83/x
  3. Step 3: Cross multiply
    5,165.78x = 7,128.14 × 3,490.83
  4. Step 4: Simplify right side
    5,165.78x = 24,883,107.50
  5. Step 5: Solve for x
    x = 24,883,107.50/5,165.78
  6. Step 6: Final answer
    x = 4,816.92

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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.