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Finding the Fourth Proportional to 5,204.37, 7,802.01 and 2,281.71

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Solution

The fourth proportional to 5,204.37, 7,802.01 and 2,281.71 is: 3,420.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.37 : 7,802.01 = 2,281.71 : x
  2. Step 2: Convert to fraction form
    5,204.37/7,802.01 = 2,281.71/x
  3. Step 3: Cross multiply
    5,204.37x = 7,802.01 × 2,281.71
  4. Step 4: Simplify right side
    5,204.37x = 17,801,924.24
  5. Step 5: Solve for x
    x = 17,801,924.24/5,204.37
  6. Step 6: Final answer
    x = 3,420.57

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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.