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Finding the Fourth Proportional to 4,952.21, 7,418.57 and 3,562.25

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Solution

The fourth proportional to 4,952.21, 7,418.57 and 3,562.25 is: 5,336.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.21 : 7,418.57 = 3,562.25 : x
  2. Step 2: Convert to fraction form
    4,952.21/7,418.57 = 3,562.25/x
  3. Step 3: Cross multiply
    4,952.21x = 7,418.57 × 3,562.25
  4. Step 4: Simplify right side
    4,952.21x = 26,426,746.08
  5. Step 5: Solve for x
    x = 26,426,746.08/4,952.21
  6. Step 6: Final answer
    x = 5,336.36

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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.