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Finding the Fourth Proportional to 3,294.84, 4,545 and 2,902.80

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Solution

The fourth proportional to 3,294.84, 4,545 and 2,902.80 is: 4,004.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.84 : 4,545 = 2,902.80 : x
  2. Step 2: Convert to fraction form
    3,294.84/4,545 = 2,902.80/x
  3. Step 3: Cross multiply
    3,294.84x = 4,545 × 2,902.80
  4. Step 4: Simplify right side
    3,294.84x = 13,193,226
  5. Step 5: Solve for x
    x = 13,193,226/3,294.84
  6. Step 6: Final answer
    x = 4,004.21

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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.