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Finding the Fourth Proportional to 3,113.86, 4,294.92 and 1,853.94

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Solution

The fourth proportional to 3,113.86, 4,294.92 and 1,853.94 is: 2,557.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.86 : 4,294.92 = 1,853.94 : x
  2. Step 2: Convert to fraction form
    3,113.86/4,294.92 = 1,853.94/x
  3. Step 3: Cross multiply
    3,113.86x = 4,294.92 × 1,853.94
  4. Step 4: Simplify right side
    3,113.86x = 7,962,522.88
  5. Step 5: Solve for x
    x = 7,962,522.88/3,113.86
  6. Step 6: Final answer
    x = 2,557.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.