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Finding the Fourth Proportional to 6,502.44, 8,970.60 and 4,144.08

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Solution

The fourth proportional to 6,502.44, 8,970.60 and 4,144.08 is: 5,717.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.44 : 8,970.60 = 4,144.08 : x
  2. Step 2: Convert to fraction form
    6,502.44/8,970.60 = 4,144.08/x
  3. Step 3: Cross multiply
    6,502.44x = 8,970.60 × 4,144.08
  4. Step 4: Simplify right side
    6,502.44x = 37,174,884.05
  5. Step 5: Solve for x
    x = 37,174,884.05/6,502.44
  6. Step 6: Final answer
    x = 5,717.07

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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.