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Finding the Fourth Proportional to 5,893.64, 8,130.66 and 3,654.92

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Solution

The fourth proportional to 5,893.64, 8,130.66 and 3,654.92 is: 5,042.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,893.64 : 8,130.66 = 3,654.92 : x
  2. Step 2: Convert to fraction form
    5,893.64/8,130.66 = 3,654.92/x
  3. Step 3: Cross multiply
    5,893.64x = 8,130.66 × 3,654.92
  4. Step 4: Simplify right side
    5,893.64x = 29,716,911.85
  5. Step 5: Solve for x
    x = 29,716,911.85/5,893.64
  6. Step 6: Final answer
    x = 5,042.20

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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.