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Finding the Fourth Proportional to 5,234.59, 7,841.86 and 5,058.72

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Solution

The fourth proportional to 5,234.59, 7,841.86 and 5,058.72 is: 7,578.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.59 : 7,841.86 = 5,058.72 : x
  2. Step 2: Convert to fraction form
    5,234.59/7,841.86 = 5,058.72/x
  3. Step 3: Cross multiply
    5,234.59x = 7,841.86 × 5,058.72
  4. Step 4: Simplify right side
    5,234.59x = 39,669,774.02
  5. Step 5: Solve for x
    x = 39,669,774.02/5,234.59
  6. Step 6: Final answer
    x = 7,578.39

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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.