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Finding the Fourth Proportional to 4,312.17, 5,899.91 and 4,295.97

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Solution

The fourth proportional to 4,312.17, 5,899.91 and 4,295.97 is: 5,877.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,312.17 : 5,899.91 = 4,295.97 : x
  2. Step 2: Convert to fraction form
    4,312.17/5,899.91 = 4,295.97/x
  3. Step 3: Cross multiply
    4,312.17x = 5,899.91 × 4,295.97
  4. Step 4: Simplify right side
    4,312.17x = 25,345,814.88
  5. Step 5: Solve for x
    x = 25,345,814.88/4,312.17
  6. Step 6: Final answer
    x = 5,877.74

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.