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Finding the Fourth Proportional to 3,762.59, 5,645.25 and 2,446.25

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Solution

The fourth proportional to 3,762.59, 5,645.25 and 2,446.25 is: 3,670.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.59 : 5,645.25 = 2,446.25 : x
  2. Step 2: Convert to fraction form
    3,762.59/5,645.25 = 2,446.25/x
  3. Step 3: Cross multiply
    3,762.59x = 5,645.25 × 2,446.25
  4. Step 4: Simplify right side
    3,762.59x = 13,809,664.59
  5. Step 5: Solve for x
    x = 13,809,664.59/3,762.59
  6. Step 6: Final answer
    x = 3,670.26

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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.