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Finding the Fourth Proportional to 3,166.16, 4,741.56 and 2,674.64

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Solution

The fourth proportional to 3,166.16, 4,741.56 and 2,674.64 is: 4,005.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.16 : 4,741.56 = 2,674.64 : x
  2. Step 2: Convert to fraction form
    3,166.16/4,741.56 = 2,674.64/x
  3. Step 3: Cross multiply
    3,166.16x = 4,741.56 × 2,674.64
  4. Step 4: Simplify right side
    3,166.16x = 12,681,966.04
  5. Step 5: Solve for x
    x = 12,681,966.04/3,166.16
  6. Step 6: Final answer
    x = 4,005.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.