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Finding the Fourth Proportional to 5,143.08, 7,714.62 and 1,856.12

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Solution

The fourth proportional to 5,143.08, 7,714.62 and 1,856.12 is: 2,784.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143.08 : 7,714.62 = 1,856.12 : x
  2. Step 2: Convert to fraction form
    5,143.08/7,714.62 = 1,856.12/x
  3. Step 3: Cross multiply
    5,143.08x = 7,714.62 × 1,856.12
  4. Step 4: Simplify right side
    5,143.08x = 14,319,221.90
  5. Step 5: Solve for x
    x = 14,319,221.90/5,143.08
  6. Step 6: Final answer
    x = 2,784.17

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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.