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Finding the Fourth Proportional to 5,953.77, 8,931.47 and 2,057.27

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Solution

The fourth proportional to 5,953.77, 8,931.47 and 2,057.27 is: 3,086.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,953.77 : 8,931.47 = 2,057.27 : x
  2. Step 2: Convert to fraction form
    5,953.77/8,931.47 = 2,057.27/x
  3. Step 3: Cross multiply
    5,953.77x = 8,931.47 × 2,057.27
  4. Step 4: Simplify right side
    5,953.77x = 18,374,390.34
  5. Step 5: Solve for x
    x = 18,374,390.34/5,953.77
  6. Step 6: Final answer
    x = 3,086.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.