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Finding the Fourth Proportional to 4,204.95, 6,306.71 and 1,393.44

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Solution

The fourth proportional to 4,204.95, 6,306.71 and 1,393.44 is: 2,089.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,204.95 : 6,306.71 = 1,393.44 : x
  2. Step 2: Convert to fraction form
    4,204.95/6,306.71 = 1,393.44/x
  3. Step 3: Cross multiply
    4,204.95x = 6,306.71 × 1,393.44
  4. Step 4: Simplify right side
    4,204.95x = 8,788,015.02
  5. Step 5: Solve for x
    x = 8,788,015.02/4,204.95
  6. Step 6: Final answer
    x = 2,089.92

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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.