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Finding the Fourth Proportional to 5,221.77, 7,831.08 and 1,523.00

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Solution

The fourth proportional to 5,221.77, 7,831.08 and 1,523.00 is: 2,284.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.77 : 7,831.08 = 1,523.00 : x
  2. Step 2: Convert to fraction form
    5,221.77/7,831.08 = 1,523.00/x
  3. Step 3: Cross multiply
    5,221.77x = 7,831.08 × 1,523.00
  4. Step 4: Simplify right side
    5,221.77x = 11,926,754.42
  5. Step 5: Solve for x
    x = 11,926,754.42/5,221.77
  6. Step 6: Final answer
    x = 2,284.05

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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.