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Finding the Fourth Proportional to 4,193.73, 6,286.19 and 1,417.77

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Solution

The fourth proportional to 4,193.73, 6,286.19 and 1,417.77 is: 2,125.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193.73 : 6,286.19 = 1,417.77 : x
  2. Step 2: Convert to fraction form
    4,193.73/6,286.19 = 1,417.77/x
  3. Step 3: Cross multiply
    4,193.73x = 6,286.19 × 1,417.77
  4. Step 4: Simplify right side
    4,193.73x = 8,912,364.51
  5. Step 5: Solve for x
    x = 8,912,364.51/4,193.73
  6. Step 6: Final answer
    x = 2,125.16

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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.