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Finding the Fourth Proportional to 5,294, 7,305.74 and 2,936.48

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Solution

The fourth proportional to 5,294, 7,305.74 and 2,936.48 is: 4,052.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294 : 7,305.74 = 2,936.48 : x
  2. Step 2: Convert to fraction form
    5,294/7,305.74 = 2,936.48/x
  3. Step 3: Cross multiply
    5,294x = 7,305.74 × 2,936.48
  4. Step 4: Simplify right side
    5,294x = 21,453,159.40
  5. Step 5: Solve for x
    x = 21,453,159.40/5,294
  6. Step 6: Final answer
    x = 4,052.35

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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.