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Finding the Fourth Proportional to 5,140.22, 7,122.82 and 4,828.10

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Solution

The fourth proportional to 5,140.22, 7,122.82 and 4,828.10 is: 6,690.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140.22 : 7,122.82 = 4,828.10 : x
  2. Step 2: Convert to fraction form
    5,140.22/7,122.82 = 4,828.10/x
  3. Step 3: Cross multiply
    5,140.22x = 7,122.82 × 4,828.10
  4. Step 4: Simplify right side
    5,140.22x = 34,389,687.24
  5. Step 5: Solve for x
    x = 34,389,687.24/5,140.22
  6. Step 6: Final answer
    x = 6,690.31

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.