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Finding the Fourth Proportional to 5,422.06, 7,482.46 and 2,938.06

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Solution

The fourth proportional to 5,422.06, 7,482.46 and 2,938.06 is: 4,054.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,422.06 : 7,482.46 = 2,938.06 : x
  2. Step 2: Convert to fraction form
    5,422.06/7,482.46 = 2,938.06/x
  3. Step 3: Cross multiply
    5,422.06x = 7,482.46 × 2,938.06
  4. Step 4: Simplify right side
    5,422.06x = 21,983,927.79
  5. Step 5: Solve for x
    x = 21,983,927.79/5,422.06
  6. Step 6: Final answer
    x = 4,054.53

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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.