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Finding the Fourth Proportional to 5,657.07, 7,802.01 and 3,640.80

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Solution

The fourth proportional to 5,657.07, 7,802.01 and 3,640.80 is: 5,021.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.07 : 7,802.01 = 3,640.80 : x
  2. Step 2: Convert to fraction form
    5,657.07/7,802.01 = 3,640.80/x
  3. Step 3: Cross multiply
    5,657.07x = 7,802.01 × 3,640.80
  4. Step 4: Simplify right side
    5,657.07x = 28,405,558.01
  5. Step 5: Solve for x
    x = 28,405,558.01/5,657.07
  6. Step 6: Final answer
    x = 5,021.25

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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.