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Finding the Fourth Proportional to 3,592, 5,385.36 and 1,370.44

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Solution

The fourth proportional to 3,592, 5,385.36 and 1,370.44 is: 2,054.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,592 : 5,385.36 = 1,370.44 : x
  2. Step 2: Convert to fraction form
    3,592/5,385.36 = 1,370.44/x
  3. Step 3: Cross multiply
    3,592x = 5,385.36 × 1,370.44
  4. Step 4: Simplify right side
    3,592x = 7,380,312.76
  5. Step 5: Solve for x
    x = 7,380,312.76/3,592
  6. Step 6: Final answer
    x = 2,054.65

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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.