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Finding the Fourth Proportional to 4,106.06, 5,667.27 and 2,513.06

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Solution

The fourth proportional to 4,106.06, 5,667.27 and 2,513.06 is: 3,468.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,106.06 : 5,667.27 = 2,513.06 : x
  2. Step 2: Convert to fraction form
    4,106.06/5,667.27 = 2,513.06/x
  3. Step 3: Cross multiply
    4,106.06x = 5,667.27 × 2,513.06
  4. Step 4: Simplify right side
    4,106.06x = 14,242,189.55
  5. Step 5: Solve for x
    x = 14,242,189.55/4,106.06
  6. Step 6: Final answer
    x = 3,468.58

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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.