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Finding the Fourth Proportional to 4,824.46, 7,224.36 and 4,275.01

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Solution

The fourth proportional to 4,824.46, 7,224.36 and 4,275.01 is: 6,401.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,824.46 : 7,224.36 = 4,275.01 : x
  2. Step 2: Convert to fraction form
    4,824.46/7,224.36 = 4,275.01/x
  3. Step 3: Cross multiply
    4,824.46x = 7,224.36 × 4,275.01
  4. Step 4: Simplify right side
    4,824.46x = 30,884,211.24
  5. Step 5: Solve for x
    x = 30,884,211.24/4,824.46
  6. Step 6: Final answer
    x = 6,401.59

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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.