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Finding the Fourth Proportional to 6,259.81, 8,638.62 and 3,465.31

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Solution

The fourth proportional to 6,259.81, 8,638.62 and 3,465.31 is: 4,782.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,259.81 : 8,638.62 = 3,465.31 : x
  2. Step 2: Convert to fraction form
    6,259.81/8,638.62 = 3,465.31/x
  3. Step 3: Cross multiply
    6,259.81x = 8,638.62 × 3,465.31
  4. Step 4: Simplify right side
    6,259.81x = 29,935,496.27
  5. Step 5: Solve for x
    x = 29,935,496.27/6,259.81
  6. Step 6: Final answer
    x = 4,782.17

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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.