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Finding the Fourth Proportional to 5,328.02, 7,994.73 and 3,593

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Solution

The fourth proportional to 5,328.02, 7,994.73 and 3,593 is: 5,391.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,328.02 : 7,994.73 = 3,593 : x
  2. Step 2: Convert to fraction form
    5,328.02/7,994.73 = 3,593/x
  3. Step 3: Cross multiply
    5,328.02x = 7,994.73 × 3,593
  4. Step 4: Simplify right side
    5,328.02x = 28,725,064.89
  5. Step 5: Solve for x
    x = 28,725,064.89/5,328.02
  6. Step 6: Final answer
    x = 5,391.32

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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.