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Finding the Fourth Proportional to 3,929.32, 5,894.16 and 2,780.20

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Solution

The fourth proportional to 3,929.32, 5,894.16 and 2,780.20 is: 4,170.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,929.32 : 5,894.16 = 2,780.20 : x
  2. Step 2: Convert to fraction form
    3,929.32/5,894.16 = 2,780.20/x
  3. Step 3: Cross multiply
    3,929.32x = 5,894.16 × 2,780.20
  4. Step 4: Simplify right side
    3,929.32x = 16,386,943.63
  5. Step 5: Solve for x
    x = 16,386,943.63/3,929.32
  6. Step 6: Final answer
    x = 4,170.43

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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.