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Finding the Fourth Proportional to 5,640.90, 8,420.97 and 4,902.99

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Solution

The fourth proportional to 5,640.90, 8,420.97 and 4,902.99 is: 7,319.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.90 : 8,420.97 = 4,902.99 : x
  2. Step 2: Convert to fraction form
    5,640.90/8,420.97 = 4,902.99/x
  3. Step 3: Cross multiply
    5,640.90x = 8,420.97 × 4,902.99
  4. Step 4: Simplify right side
    5,640.90x = 41,287,931.70
  5. Step 5: Solve for x
    x = 41,287,931.70/5,640.90
  6. Step 6: Final answer
    x = 7,319.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.