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Finding the Fourth Proportional to 5,380, 8,070 and 1,732

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Solution

The fourth proportional to 5,380, 8,070 and 1,732 is: 2,598

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,380 : 8,070 = 1,732 : x
  2. Step 2: Convert to fraction form
    5,380/8,070 = 1,732/x
  3. Step 3: Cross multiply
    5,380x = 8,070 × 1,732
  4. Step 4: Simplify right side
    5,380x = 13,977,240
  5. Step 5: Solve for x
    x = 13,977,240/5,380
  6. Step 6: Final answer
    x = 2,598

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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.