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Finding the Fourth Proportional to 6,502.40, 9,741.60 and 3,584.24

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Solution

The fourth proportional to 6,502.40, 9,741.60 and 3,584.24 is: 5,369.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.40 : 9,741.60 = 3,584.24 : x
  2. Step 2: Convert to fraction form
    6,502.40/9,741.60 = 3,584.24/x
  3. Step 3: Cross multiply
    6,502.40x = 9,741.60 × 3,584.24
  4. Step 4: Simplify right side
    6,502.40x = 34,916,232.38
  5. Step 5: Solve for x
    x = 34,916,232.38/6,502.40
  6. Step 6: Final answer
    x = 5,369.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.