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Finding the Fourth Proportional to 5,142.95, 7,714.43 and 1,856.05

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Solution

The fourth proportional to 5,142.95, 7,714.43 and 1,856.05 is: 2,784.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.95 : 7,714.43 = 1,856.05 : x
  2. Step 2: Convert to fraction form
    5,142.95/7,714.43 = 1,856.05/x
  3. Step 3: Cross multiply
    5,142.95x = 7,714.43 × 1,856.05
  4. Step 4: Simplify right side
    5,142.95x = 14,318,367.80
  5. Step 5: Solve for x
    x = 14,318,367.80/5,142.95
  6. Step 6: Final answer
    x = 2,784.08

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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.