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Finding the Fourth Proportional to 3,594.16, 5,391.20 and 997

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Solution

The fourth proportional to 3,594.16, 5,391.20 and 997 is: 1,495.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,594.16 : 5,391.20 = 997 : x
  2. Step 2: Convert to fraction form
    3,594.16/5,391.20 = 997/x
  3. Step 3: Cross multiply
    3,594.16x = 5,391.20 × 997
  4. Step 4: Simplify right side
    3,594.16x = 5,375,026.40
  5. Step 5: Solve for x
    x = 5,375,026.40/3,594.16
  6. Step 6: Final answer
    x = 1,495.49

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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.