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Finding the Fourth Proportional to 6,164.53, 8,507.36 and 3,648.08

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Solution

The fourth proportional to 6,164.53, 8,507.36 and 3,648.08 is: 5,034.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.53 : 8,507.36 = 3,648.08 : x
  2. Step 2: Convert to fraction form
    6,164.53/8,507.36 = 3,648.08/x
  3. Step 3: Cross multiply
    6,164.53x = 8,507.36 × 3,648.08
  4. Step 4: Simplify right side
    6,164.53x = 31,035,560.26
  5. Step 5: Solve for x
    x = 31,035,560.26/6,164.53
  6. Step 6: Final answer
    x = 5,034.54

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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.