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Finding the Fourth Proportional to 4,613.16, 6,917.08 and 3,154.08

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Solution

The fourth proportional to 4,613.16, 6,917.08 and 3,154.08 is: 4,729.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,613.16 : 6,917.08 = 3,154.08 : x
  2. Step 2: Convert to fraction form
    4,613.16/6,917.08 = 3,154.08/x
  3. Step 3: Cross multiply
    4,613.16x = 6,917.08 × 3,154.08
  4. Step 4: Simplify right side
    4,613.16x = 21,817,023.69
  5. Step 5: Solve for x
    x = 21,817,023.69/4,613.16
  6. Step 6: Final answer
    x = 4,729.30

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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.