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Finding the Fourth Proportional to 4,856, 7,286.64 and 1,934.30

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Solution

The fourth proportional to 4,856, 7,286.64 and 1,934.30 is: 2,902.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856 : 7,286.64 = 1,934.30 : x
  2. Step 2: Convert to fraction form
    4,856/7,286.64 = 1,934.30/x
  3. Step 3: Cross multiply
    4,856x = 7,286.64 × 1,934.30
  4. Step 4: Simplify right side
    4,856x = 14,094,547.75
  5. Step 5: Solve for x
    x = 14,094,547.75/4,856
  6. Step 6: Final answer
    x = 2,902.50

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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.