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Finding the Fourth Proportional to 4,823.28, 7,223.12 and 4,355.81

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Solution

The fourth proportional to 4,823.28, 7,223.12 and 4,355.81 is: 6,523.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,823.28 : 7,223.12 = 4,355.81 : x
  2. Step 2: Convert to fraction form
    4,823.28/7,223.12 = 4,355.81/x
  3. Step 3: Cross multiply
    4,823.28x = 7,223.12 × 4,355.81
  4. Step 4: Simplify right side
    4,823.28x = 31,462,538.33
  5. Step 5: Solve for x
    x = 31,462,538.33/4,823.28
  6. Step 6: Final answer
    x = 6,523.06

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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.