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Finding the Fourth Proportional to 4,853.68, 7,278.20 and 1,390

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Solution

The fourth proportional to 4,853.68, 7,278.20 and 1,390 is: 2,084.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,853.68 : 7,278.20 = 1,390 : x
  2. Step 2: Convert to fraction form
    4,853.68/7,278.20 = 1,390/x
  3. Step 3: Cross multiply
    4,853.68x = 7,278.20 × 1,390
  4. Step 4: Simplify right side
    4,853.68x = 10,116,698
  5. Step 5: Solve for x
    x = 10,116,698/4,853.68
  6. Step 6: Final answer
    x = 2,084.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.