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Finding the Fourth Proportional to 5,246.12, 7,869.27 and 1,548.42

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Solution

The fourth proportional to 5,246.12, 7,869.27 and 1,548.42 is: 2,322.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,246.12 : 7,869.27 = 1,548.42 : x
  2. Step 2: Convert to fraction form
    5,246.12/7,869.27 = 1,548.42/x
  3. Step 3: Cross multiply
    5,246.12x = 7,869.27 × 1,548.42
  4. Step 4: Simplify right side
    5,246.12x = 12,184,935.05
  5. Step 5: Solve for x
    x = 12,184,935.05/5,246.12
  6. Step 6: Final answer
    x = 2,322.66

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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.