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Finding the Fourth Proportional to 5,801.61, 8,006.52 and 3,412.30

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Solution

The fourth proportional to 5,801.61, 8,006.52 and 3,412.30 is: 4,709.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801.61 : 8,006.52 = 3,412.30 : x
  2. Step 2: Convert to fraction form
    5,801.61/8,006.52 = 3,412.30/x
  3. Step 3: Cross multiply
    5,801.61x = 8,006.52 × 3,412.30
  4. Step 4: Simplify right side
    5,801.61x = 27,320,648.20
  5. Step 5: Solve for x
    x = 27,320,648.20/5,801.61
  6. Step 6: Final answer
    x = 4,709.15

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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.