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Finding the Fourth Proportional to 4,833.42, 7,256.25 and 4,021.62

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Solution

The fourth proportional to 4,833.42, 7,256.25 and 4,021.62 is: 6,037.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,833.42 : 7,256.25 = 4,021.62 : x
  2. Step 2: Convert to fraction form
    4,833.42/7,256.25 = 4,021.62/x
  3. Step 3: Cross multiply
    4,833.42x = 7,256.25 × 4,021.62
  4. Step 4: Simplify right side
    4,833.42x = 29,181,880.13
  5. Step 5: Solve for x
    x = 29,181,880.13/4,833.42
  6. Step 6: Final answer
    x = 6,037.52

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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.