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Finding the Fourth Proportional to 3,931.72, 5,894.72 and 1,985.30

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Solution

The fourth proportional to 3,931.72, 5,894.72 and 1,985.30 is: 2,976.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,931.72 : 5,894.72 = 1,985.30 : x
  2. Step 2: Convert to fraction form
    3,931.72/5,894.72 = 1,985.30/x
  3. Step 3: Cross multiply
    3,931.72x = 5,894.72 × 1,985.30
  4. Step 4: Simplify right side
    3,931.72x = 11,702,787.62
  5. Step 5: Solve for x
    x = 11,702,787.62/3,931.72
  6. Step 6: Final answer
    x = 2,976.51

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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.