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Finding the Fourth Proportional to 4,141, 5,714.58 and 2,278.12

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Solution

The fourth proportional to 4,141, 5,714.58 and 2,278.12 is: 3,143.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141 : 5,714.58 = 2,278.12 : x
  2. Step 2: Convert to fraction form
    4,141/5,714.58 = 2,278.12/x
  3. Step 3: Cross multiply
    4,141x = 5,714.58 × 2,278.12
  4. Step 4: Simplify right side
    4,141x = 13,018,498.99
  5. Step 5: Solve for x
    x = 13,018,498.99/4,141
  6. Step 6: Final answer
    x = 3,143.81

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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.