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Finding the Fourth Proportional to 5,246.40, 7,864.56 and 1,958.16

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Solution

The fourth proportional to 5,246.40, 7,864.56 and 1,958.16 is: 2,935.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,246.40 : 7,864.56 = 1,958.16 : x
  2. Step 2: Convert to fraction form
    5,246.40/7,864.56 = 1,958.16/x
  3. Step 3: Cross multiply
    5,246.40x = 7,864.56 × 1,958.16
  4. Step 4: Simplify right side
    5,246.40x = 15,400,066.81
  5. Step 5: Solve for x
    x = 15,400,066.81/5,246.40
  6. Step 6: Final answer
    x = 2,935.36

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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.