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Finding the Fourth Proportional to 3,814.02, 5,260.64 and 3,500.30

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Solution

The fourth proportional to 3,814.02, 5,260.64 and 3,500.30 is: 4,827.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.02 : 5,260.64 = 3,500.30 : x
  2. Step 2: Convert to fraction form
    3,814.02/5,260.64 = 3,500.30/x
  3. Step 3: Cross multiply
    3,814.02x = 5,260.64 × 3,500.30
  4. Step 4: Simplify right side
    3,814.02x = 18,413,813.84
  5. Step 5: Solve for x
    x = 18,413,813.84/3,814.02
  6. Step 6: Final answer
    x = 4,827.92

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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.