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Finding the Fourth Proportional to 3,292.93, 4,938.87 and 1,213.93

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Solution

The fourth proportional to 3,292.93, 4,938.87 and 1,213.93 is: 1,820.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,292.93 : 4,938.87 = 1,213.93 : x
  2. Step 2: Convert to fraction form
    3,292.93/4,938.87 = 1,213.93/x
  3. Step 3: Cross multiply
    3,292.93x = 4,938.87 × 1,213.93
  4. Step 4: Simplify right side
    3,292.93x = 5,995,417.76
  5. Step 5: Solve for x
    x = 5,995,417.76/3,292.93
  6. Step 6: Final answer
    x = 1,820.70

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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.