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Finding the Fourth Proportional to 4,506.61, 6,761.13 and 4,072.86

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Solution

The fourth proportional to 4,506.61, 6,761.13 and 4,072.86 is: 6,110.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,506.61 : 6,761.13 = 4,072.86 : x
  2. Step 2: Convert to fraction form
    4,506.61/6,761.13 = 4,072.86/x
  3. Step 3: Cross multiply
    4,506.61x = 6,761.13 × 4,072.86
  4. Step 4: Simplify right side
    4,506.61x = 27,537,135.93
  5. Step 5: Solve for x
    x = 27,537,135.93/4,506.61
  6. Step 6: Final answer
    x = 6,110.39

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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.