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Finding the Fourth Proportional to 3,333.90, 4,590 and 2,743.38

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Solution

The fourth proportional to 3,333.90, 4,590 and 2,743.38 is: 3,776.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,333.90 : 4,590 = 2,743.38 : x
  2. Step 2: Convert to fraction form
    3,333.90/4,590 = 2,743.38/x
  3. Step 3: Cross multiply
    3,333.90x = 4,590 × 2,743.38
  4. Step 4: Simplify right side
    3,333.90x = 12,592,114.20
  5. Step 5: Solve for x
    x = 12,592,114.20/3,333.90
  6. Step 6: Final answer
    x = 3,776.99

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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.