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Finding the Fourth Proportional to 4,159.81, 5,741.06 and 2,667.18

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Solution

The fourth proportional to 4,159.81, 5,741.06 and 2,667.18 is: 3,681.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,159.81 : 5,741.06 = 2,667.18 : x
  2. Step 2: Convert to fraction form
    4,159.81/5,741.06 = 2,667.18/x
  3. Step 3: Cross multiply
    4,159.81x = 5,741.06 × 2,667.18
  4. Step 4: Simplify right side
    4,159.81x = 15,312,427.07
  5. Step 5: Solve for x
    x = 15,312,427.07/4,159.81
  6. Step 6: Final answer
    x = 3,681.04

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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.