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Finding the Fourth Proportional to 5,142.19, 7,713.21 and 1,246.57

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Solution

The fourth proportional to 5,142.19, 7,713.21 and 1,246.57 is: 1,869.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.19 : 7,713.21 = 1,246.57 : x
  2. Step 2: Convert to fraction form
    5,142.19/7,713.21 = 1,246.57/x
  3. Step 3: Cross multiply
    5,142.19x = 7,713.21 × 1,246.57
  4. Step 4: Simplify right side
    5,142.19x = 9,615,056.19
  5. Step 5: Solve for x
    x = 9,615,056.19/5,142.19
  6. Step 6: Final answer
    x = 1,869.84

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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.