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Finding the Fourth Proportional to 6,164.19, 8,507.25 and 3,438.99

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Solution

The fourth proportional to 6,164.19, 8,507.25 and 3,438.99 is: 4,746.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.19 : 8,507.25 = 3,438.99 : x
  2. Step 2: Convert to fraction form
    6,164.19/8,507.25 = 3,438.99/x
  3. Step 3: Cross multiply
    6,164.19x = 8,507.25 × 3,438.99
  4. Step 4: Simplify right side
    6,164.19x = 29,256,347.68
  5. Step 5: Solve for x
    x = 29,256,347.68/6,164.19
  6. Step 6: Final answer
    x = 4,746.18

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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.