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Finding the Fourth Proportional to 5,078.64, 7,614.36 and 1,956.05

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Solution

The fourth proportional to 5,078.64, 7,614.36 and 1,956.05 is: 2,932.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,078.64 : 7,614.36 = 1,956.05 : x
  2. Step 2: Convert to fraction form
    5,078.64/7,614.36 = 1,956.05/x
  3. Step 3: Cross multiply
    5,078.64x = 7,614.36 × 1,956.05
  4. Step 4: Simplify right side
    5,078.64x = 14,894,030.81
  5. Step 5: Solve for x
    x = 14,894,030.81/5,078.64
  6. Step 6: Final answer
    x = 2,932.68

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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.