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Finding the Fourth Proportional to 5,827.61, 8,042.20 and 3,175.02

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Solution

The fourth proportional to 5,827.61, 8,042.20 and 3,175.02 is: 4,381.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.61 : 8,042.20 = 3,175.02 : x
  2. Step 2: Convert to fraction form
    5,827.61/8,042.20 = 3,175.02/x
  3. Step 3: Cross multiply
    5,827.61x = 8,042.20 × 3,175.02
  4. Step 4: Simplify right side
    5,827.61x = 25,534,137.91
  5. Step 5: Solve for x
    x = 25,534,137.91/5,827.61
  6. Step 6: Final answer
    x = 4,381.58

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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.