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Finding the Fourth Proportional to 6,535.98, 9,019.65 and 3,551.81

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Solution

The fourth proportional to 6,535.98, 9,019.65 and 3,551.81 is: 4,901.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.98 : 9,019.65 = 3,551.81 : x
  2. Step 2: Convert to fraction form
    6,535.98/9,019.65 = 3,551.81/x
  3. Step 3: Cross multiply
    6,535.98x = 9,019.65 × 3,551.81
  4. Step 4: Simplify right side
    6,535.98x = 32,036,082.04
  5. Step 5: Solve for x
    x = 32,036,082.04/6,535.98
  6. Step 6: Final answer
    x = 4,901.49

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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.