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Finding the Fourth Proportional to 3,977.06, 5,966.51 and 1,380

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Solution

The fourth proportional to 3,977.06, 5,966.51 and 1,380 is: 2,070.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.06 : 5,966.51 = 1,380 : x
  2. Step 2: Convert to fraction form
    3,977.06/5,966.51 = 1,380/x
  3. Step 3: Cross multiply
    3,977.06x = 5,966.51 × 1,380
  4. Step 4: Simplify right side
    3,977.06x = 8,233,776.90
  5. Step 5: Solve for x
    x = 8,233,776.90/3,977.06
  6. Step 6: Final answer
    x = 2,070.32

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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.