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Finding the Fourth Proportional to 6,544.48, 9,029.16 and 3,711.54

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Solution

The fourth proportional to 6,544.48, 9,029.16 and 3,711.54 is: 5,120.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.48 : 9,029.16 = 3,711.54 : x
  2. Step 2: Convert to fraction form
    6,544.48/9,029.16 = 3,711.54/x
  3. Step 3: Cross multiply
    6,544.48x = 9,029.16 × 3,711.54
  4. Step 4: Simplify right side
    6,544.48x = 33,512,088.51
  5. Step 5: Solve for x
    x = 33,512,088.51/6,544.48
  6. Step 6: Final answer
    x = 5,120.66

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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.