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Finding the Fourth Proportional to 3,746.03, 5,166.09 and 2,567.48

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Solution

The fourth proportional to 3,746.03, 5,166.09 and 2,567.48 is: 3,540.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746.03 : 5,166.09 = 2,567.48 : x
  2. Step 2: Convert to fraction form
    3,746.03/5,166.09 = 2,567.48/x
  3. Step 3: Cross multiply
    3,746.03x = 5,166.09 × 2,567.48
  4. Step 4: Simplify right side
    3,746.03x = 13,263,806.92
  5. Step 5: Solve for x
    x = 13,263,806.92/3,746.03
  6. Step 6: Final answer
    x = 3,540.77

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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.