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Finding the Fourth Proportional to 5,046.59, 7,575.33 and 3,827.32

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Solution

The fourth proportional to 5,046.59, 7,575.33 and 3,827.32 is: 5,745.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.59 : 7,575.33 = 3,827.32 : x
  2. Step 2: Convert to fraction form
    5,046.59/7,575.33 = 3,827.32/x
  3. Step 3: Cross multiply
    5,046.59x = 7,575.33 × 3,827.32
  4. Step 4: Simplify right side
    5,046.59x = 28,993,212.02
  5. Step 5: Solve for x
    x = 28,993,212.02/5,046.59
  6. Step 6: Final answer
    x = 5,745.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.