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Finding the Fourth Proportional to 4,952.37, 6,834.48 and 2,828.25

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Solution

The fourth proportional to 4,952.37, 6,834.48 and 2,828.25 is: 3,903.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.37 : 6,834.48 = 2,828.25 : x
  2. Step 2: Convert to fraction form
    4,952.37/6,834.48 = 2,828.25/x
  3. Step 3: Cross multiply
    4,952.37x = 6,834.48 × 2,828.25
  4. Step 4: Simplify right side
    4,952.37x = 19,329,607.45
  5. Step 5: Solve for x
    x = 19,329,607.45/4,952.37
  6. Step 6: Final answer
    x = 3,903.10

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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.