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Finding the Fourth Proportional to 5,221.93, 7,206.14 and 2,831.77

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Solution

The fourth proportional to 5,221.93, 7,206.14 and 2,831.77 is: 3,907.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.93 : 7,206.14 = 2,831.77 : x
  2. Step 2: Convert to fraction form
    5,221.93/7,206.14 = 2,831.77/x
  3. Step 3: Cross multiply
    5,221.93x = 7,206.14 × 2,831.77
  4. Step 4: Simplify right side
    5,221.93x = 20,406,116.91
  5. Step 5: Solve for x
    x = 20,406,116.91/5,221.93
  6. Step 6: Final answer
    x = 3,907.77

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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.