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Finding the Fourth Proportional to 3,221.02, 4,831.58 and 912.52

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Solution

The fourth proportional to 3,221.02, 4,831.58 and 912.52 is: 1,368.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.02 : 4,831.58 = 912.52 : x
  2. Step 2: Convert to fraction form
    3,221.02/4,831.58 = 912.52/x
  3. Step 3: Cross multiply
    3,221.02x = 4,831.58 × 912.52
  4. Step 4: Simplify right side
    3,221.02x = 4,408,913.38
  5. Step 5: Solve for x
    x = 4,408,913.38/3,221.02
  6. Step 6: Final answer
    x = 1,368.79

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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.