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Finding the Fourth Proportional to 3,291.93, 4,938.93 and 2,057.64

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Solution

The fourth proportional to 3,291.93, 4,938.93 and 2,057.64 is: 3,087.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291.93 : 4,938.93 = 2,057.64 : x
  2. Step 2: Convert to fraction form
    3,291.93/4,938.93 = 2,057.64/x
  3. Step 3: Cross multiply
    3,291.93x = 4,938.93 × 2,057.64
  4. Step 4: Simplify right side
    3,291.93x = 10,162,539.93
  5. Step 5: Solve for x
    x = 10,162,539.93/3,291.93
  6. Step 6: Final answer
    x = 3,087.11

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Why These Related Problems?

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