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Finding the Fourth Proportional to 3,053.86, 4,214.34 and 1,727.57

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Solution

The fourth proportional to 3,053.86, 4,214.34 and 1,727.57 is: 2,384.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.86 : 4,214.34 = 1,727.57 : x
  2. Step 2: Convert to fraction form
    3,053.86/4,214.34 = 1,727.57/x
  3. Step 3: Cross multiply
    3,053.86x = 4,214.34 × 1,727.57
  4. Step 4: Simplify right side
    3,053.86x = 7,280,577.89
  5. Step 5: Solve for x
    x = 7,280,577.89/3,053.86
  6. Step 6: Final answer
    x = 2,384.06

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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.