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Finding the Fourth Proportional to 5,220.90, 7,831.68 and 1,523.16

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Solution

The fourth proportional to 5,220.90, 7,831.68 and 1,523.16 is: 2,284.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,220.90 : 7,831.68 = 1,523.16 : x
  2. Step 2: Convert to fraction form
    5,220.90/7,831.68 = 1,523.16/x
  3. Step 3: Cross multiply
    5,220.90x = 7,831.68 × 1,523.16
  4. Step 4: Simplify right side
    5,220.90x = 11,928,901.71
  5. Step 5: Solve for x
    x = 11,928,901.71/5,220.90
  6. Step 6: Final answer
    x = 2,284.84

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