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Finding the Fourth Proportional to 3,953.83, 5,931.64 and 1,356.61

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Solution

The fourth proportional to 3,953.83, 5,931.64 and 1,356.61 is: 2,035.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.83 : 5,931.64 = 1,356.61 : x
  2. Step 2: Convert to fraction form
    3,953.83/5,931.64 = 1,356.61/x
  3. Step 3: Cross multiply
    3,953.83x = 5,931.64 × 1,356.61
  4. Step 4: Simplify right side
    3,953.83x = 8,046,909.01
  5. Step 5: Solve for x
    x = 8,046,909.01/3,953.83
  6. Step 6: Final answer
    x = 2,035.22

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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.