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Finding the Fourth Proportional to 6,417.31, 8,853.25 and 3,899.01

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Solution

The fourth proportional to 6,417.31, 8,853.25 and 3,899.01 is: 5,379.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417.31 : 8,853.25 = 3,899.01 : x
  2. Step 2: Convert to fraction form
    6,417.31/8,853.25 = 3,899.01/x
  3. Step 3: Cross multiply
    6,417.31x = 8,853.25 × 3,899.01
  4. Step 4: Simplify right side
    6,417.31x = 34,518,916.15
  5. Step 5: Solve for x
    x = 34,518,916.15/6,417.31
  6. Step 6: Final answer
    x = 5,379.03

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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.