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Finding the Fourth Proportional to 4,154.16, 5,734.08 and 2,666.08

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Solution

The fourth proportional to 4,154.16, 5,734.08 and 2,666.08 is: 3,680.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,154.16 : 5,734.08 = 2,666.08 : x
  2. Step 2: Convert to fraction form
    4,154.16/5,734.08 = 2,666.08/x
  3. Step 3: Cross multiply
    4,154.16x = 5,734.08 × 2,666.08
  4. Step 4: Simplify right side
    4,154.16x = 15,287,516.01
  5. Step 5: Solve for x
    x = 15,287,516.01/4,154.16
  6. Step 6: Final answer
    x = 3,680.05

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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.