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Finding the Fourth Proportional to 6,499.58, 8,971.72 and 3,846.98

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Solution

The fourth proportional to 6,499.58, 8,971.72 and 3,846.98 is: 5,310.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.58 : 8,971.72 = 3,846.98 : x
  2. Step 2: Convert to fraction form
    6,499.58/8,971.72 = 3,846.98/x
  3. Step 3: Cross multiply
    6,499.58x = 8,971.72 × 3,846.98
  4. Step 4: Simplify right side
    6,499.58x = 34,514,040.22
  5. Step 5: Solve for x
    x = 34,514,040.22/6,499.58
  6. Step 6: Final answer
    x = 5,310.20

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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.