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Finding the Fourth Proportional to 5,707.43, 7,873.30 and 3,612.77

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Solution

The fourth proportional to 5,707.43, 7,873.30 and 3,612.77 is: 4,983.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707.43 : 7,873.30 = 3,612.77 : x
  2. Step 2: Convert to fraction form
    5,707.43/7,873.30 = 3,612.77/x
  3. Step 3: Cross multiply
    5,707.43x = 7,873.30 × 3,612.77
  4. Step 4: Simplify right side
    5,707.43x = 28,444,422.04
  5. Step 5: Solve for x
    x = 28,444,422.04/5,707.43
  6. Step 6: Final answer
    x = 4,983.75

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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.