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Finding the Fourth Proportional to 5,264.35, 7,264.21 and 2,905.90

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Solution

The fourth proportional to 5,264.35, 7,264.21 and 2,905.90 is: 4,009.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.35 : 7,264.21 = 2,905.90 : x
  2. Step 2: Convert to fraction form
    5,264.35/7,264.21 = 2,905.90/x
  3. Step 3: Cross multiply
    5,264.35x = 7,264.21 × 2,905.90
  4. Step 4: Simplify right side
    5,264.35x = 21,109,016.99
  5. Step 5: Solve for x
    x = 21,109,016.99/5,264.35
  6. Step 6: Final answer
    x = 4,009.81

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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.