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Finding the Fourth Proportional to 3,762.47, 5,189.78 and 2,584.19

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Solution

The fourth proportional to 3,762.47, 5,189.78 and 2,584.19 is: 3,564.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.47 : 5,189.78 = 2,584.19 : x
  2. Step 2: Convert to fraction form
    3,762.47/5,189.78 = 2,584.19/x
  3. Step 3: Cross multiply
    3,762.47x = 5,189.78 × 2,584.19
  4. Step 4: Simplify right side
    3,762.47x = 13,411,338.71
  5. Step 5: Solve for x
    x = 13,411,338.71/3,762.47
  6. Step 6: Final answer
    x = 3,564.51

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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.