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Finding the Fourth Proportional to 4,199.27, 6,298.71 and 1,277.48

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Solution

The fourth proportional to 4,199.27, 6,298.71 and 1,277.48 is: 1,916.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.27 : 6,298.71 = 1,277.48 : x
  2. Step 2: Convert to fraction form
    4,199.27/6,298.71 = 1,277.48/x
  3. Step 3: Cross multiply
    4,199.27x = 6,298.71 × 1,277.48
  4. Step 4: Simplify right side
    4,199.27x = 8,046,444.56
  5. Step 5: Solve for x
    x = 8,046,444.56/4,199.27
  6. Step 6: Final answer
    x = 1,916.16

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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.