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Finding the Fourth Proportional to 4,937.69, 6,814.26 and 2,921.20

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Solution

The fourth proportional to 4,937.69, 6,814.26 and 2,921.20 is: 4,031.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,937.69 : 6,814.26 = 2,921.20 : x
  2. Step 2: Convert to fraction form
    4,937.69/6,814.26 = 2,921.20/x
  3. Step 3: Cross multiply
    4,937.69x = 6,814.26 × 2,921.20
  4. Step 4: Simplify right side
    4,937.69x = 19,905,799.28
  5. Step 5: Solve for x
    x = 19,905,799.28/4,937.69
  6. Step 6: Final answer
    x = 4,031.40

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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.