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Finding the Fourth Proportional to 5,422.46, 7,482.98 and 2,938.46

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Solution

The fourth proportional to 5,422.46, 7,482.98 and 2,938.46 is: 4,055.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,422.46 : 7,482.98 = 2,938.46 : x
  2. Step 2: Convert to fraction form
    5,422.46/7,482.98 = 2,938.46/x
  3. Step 3: Cross multiply
    5,422.46x = 7,482.98 × 2,938.46
  4. Step 4: Simplify right side
    5,422.46x = 21,988,437.41
  5. Step 5: Solve for x
    x = 21,988,437.41/5,422.46
  6. Step 6: Final answer
    x = 4,055.07

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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.