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Finding the Fourth Proportional to 3,612.56, 5,416.22 and 1,854.99

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Solution

The fourth proportional to 3,612.56, 5,416.22 and 1,854.99 is: 2,781.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612.56 : 5,416.22 = 1,854.99 : x
  2. Step 2: Convert to fraction form
    3,612.56/5,416.22 = 1,854.99/x
  3. Step 3: Cross multiply
    3,612.56x = 5,416.22 × 1,854.99
  4. Step 4: Simplify right side
    3,612.56x = 10,047,024.66
  5. Step 5: Solve for x
    x = 10,047,024.66/3,612.56
  6. Step 6: Final answer
    x = 2,781.14

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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.