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Finding the Fourth Proportional to 3,535.38, 5,303.07 and 938.25

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Solution

The fourth proportional to 3,535.38, 5,303.07 and 938.25 is: 1,407.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535.38 : 5,303.07 = 938.25 : x
  2. Step 2: Convert to fraction form
    3,535.38/5,303.07 = 938.25/x
  3. Step 3: Cross multiply
    3,535.38x = 5,303.07 × 938.25
  4. Step 4: Simplify right side
    3,535.38x = 4,975,605.43
  5. Step 5: Solve for x
    x = 4,975,605.43/3,535.38
  6. Step 6: Final answer
    x = 1,407.38

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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.