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Finding the Fourth Proportional to 3,019.14, 4,527.42 and 938.64

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Solution

The fourth proportional to 3,019.14, 4,527.42 and 938.64 is: 1,407.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,019.14 : 4,527.42 = 938.64 : x
  2. Step 2: Convert to fraction form
    3,019.14/4,527.42 = 938.64/x
  3. Step 3: Cross multiply
    3,019.14x = 4,527.42 × 938.64
  4. Step 4: Simplify right side
    3,019.14x = 4,249,617.51
  5. Step 5: Solve for x
    x = 4,249,617.51/3,019.14
  6. Step 6: Final answer
    x = 1,407.56

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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.