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Finding the Fourth Proportional to 4,202.07, 5,798.14 and 2,524.41

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Solution

The fourth proportional to 4,202.07, 5,798.14 and 2,524.41 is: 3,483.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.07 : 5,798.14 = 2,524.41 : x
  2. Step 2: Convert to fraction form
    4,202.07/5,798.14 = 2,524.41/x
  3. Step 3: Cross multiply
    4,202.07x = 5,798.14 × 2,524.41
  4. Step 4: Simplify right side
    4,202.07x = 14,636,882.60
  5. Step 5: Solve for x
    x = 14,636,882.60/4,202.07
  6. Step 6: Final answer
    x = 3,483.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.