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Finding the Fourth Proportional to 4,220.40, 6,332.04 and 1,882.02

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Solution

The fourth proportional to 4,220.40, 6,332.04 and 1,882.02 is: 2,823.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,220.40 : 6,332.04 = 1,882.02 : x
  2. Step 2: Convert to fraction form
    4,220.40/6,332.04 = 1,882.02/x
  3. Step 3: Cross multiply
    4,220.40x = 6,332.04 × 1,882.02
  4. Step 4: Simplify right side
    4,220.40x = 11,917,025.92
  5. Step 5: Solve for x
    x = 11,917,025.92/4,220.40
  6. Step 6: Final answer
    x = 2,823.67

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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.