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Finding the Fourth Proportional to 4,753.22, 7,122.54 and 4,024.22

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Solution

The fourth proportional to 4,753.22, 7,122.54 and 4,024.22 is: 6,030.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,753.22 : 7,122.54 = 4,024.22 : x
  2. Step 2: Convert to fraction form
    4,753.22/7,122.54 = 4,024.22/x
  3. Step 3: Cross multiply
    4,753.22x = 7,122.54 × 4,024.22
  4. Step 4: Simplify right side
    4,753.22x = 28,662,667.92
  5. Step 5: Solve for x
    x = 28,662,667.92/4,753.22
  6. Step 6: Final answer
    x = 6,030.16

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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.