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Finding the Fourth Proportional to 5,294, 7,305.08 and 2,935.82

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Solution

The fourth proportional to 5,294, 7,305.08 and 2,935.82 is: 4,051.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294 : 7,305.08 = 2,935.82 : x
  2. Step 2: Convert to fraction form
    5,294/7,305.08 = 2,935.82/x
  3. Step 3: Cross multiply
    5,294x = 7,305.08 × 2,935.82
  4. Step 4: Simplify right side
    5,294x = 21,446,399.97
  5. Step 5: Solve for x
    x = 21,446,399.97/5,294
  6. Step 6: Final answer
    x = 4,051.08

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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.