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Finding the Fourth Proportional to 5,359.84, 7,396.94 and 3,002.00

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Solution

The fourth proportional to 5,359.84, 7,396.94 and 3,002.00 is: 4,142.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,359.84 : 7,396.94 = 3,002.00 : x
  2. Step 2: Convert to fraction form
    5,359.84/7,396.94 = 3,002.00/x
  3. Step 3: Cross multiply
    5,359.84x = 7,396.94 × 3,002.00
  4. Step 4: Simplify right side
    5,359.84x = 22,205,584.40
  5. Step 5: Solve for x
    x = 22,205,584.40/5,359.84
  6. Step 6: Final answer
    x = 4,142.96

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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.