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Finding the Fourth Proportional to 6,535.29, 9,018.81 and 3,740.79

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Solution

The fourth proportional to 6,535.29, 9,018.81 and 3,740.79 is: 5,162.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.29 : 9,018.81 = 3,740.79 : x
  2. Step 2: Convert to fraction form
    6,535.29/9,018.81 = 3,740.79/x
  3. Step 3: Cross multiply
    6,535.29x = 9,018.81 × 3,740.79
  4. Step 4: Simplify right side
    6,535.29x = 33,737,474.26
  5. Step 5: Solve for x
    x = 33,737,474.26/6,535.29
  6. Step 6: Final answer
    x = 5,162.35

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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.