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Finding the Fourth Proportional to 5,262.32, 7,262.36 and 3,054.32

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Solution

The fourth proportional to 5,262.32, 7,262.36 and 3,054.32 is: 4,215.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262.32 : 7,262.36 = 3,054.32 : x
  2. Step 2: Convert to fraction form
    5,262.32/7,262.36 = 3,054.32/x
  3. Step 3: Cross multiply
    5,262.32x = 7,262.36 × 3,054.32
  4. Step 4: Simplify right side
    5,262.32x = 22,181,571.40
  5. Step 5: Solve for x
    x = 22,181,571.40/5,262.32
  6. Step 6: Final answer
    x = 4,215.17

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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.