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Finding the Fourth Proportional to 3,380, 5,070 and 1,071.50

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Solution

The fourth proportional to 3,380, 5,070 and 1,071.50 is: 1,607.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380 : 5,070 = 1,071.50 : x
  2. Step 2: Convert to fraction form
    3,380/5,070 = 1,071.50/x
  3. Step 3: Cross multiply
    3,380x = 5,070 × 1,071.50
  4. Step 4: Simplify right side
    3,380x = 5,432,505
  5. Step 5: Solve for x
    x = 5,432,505/3,380
  6. Step 6: Final answer
    x = 1,607.25

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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.