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Finding the Fourth Proportional to 4,161.60, 5,742.72 and 3,718.08

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Solution

The fourth proportional to 4,161.60, 5,742.72 and 3,718.08 is: 5,130.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161.60 : 5,742.72 = 3,718.08 : x
  2. Step 2: Convert to fraction form
    4,161.60/5,742.72 = 3,718.08/x
  3. Step 3: Cross multiply
    4,161.60x = 5,742.72 × 3,718.08
  4. Step 4: Simplify right side
    4,161.60x = 21,351,892.38
  5. Step 5: Solve for x
    x = 21,351,892.38/4,161.60
  6. Step 6: Final answer
    x = 5,130.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.