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Finding the Fourth Proportional to 3,927.98, 5,892.36 and 1,006.28

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Solution

The fourth proportional to 3,927.98, 5,892.36 and 1,006.28 is: 1,509.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.98 : 5,892.36 = 1,006.28 : x
  2. Step 2: Convert to fraction form
    3,927.98/5,892.36 = 1,006.28/x
  3. Step 3: Cross multiply
    3,927.98x = 5,892.36 × 1,006.28
  4. Step 4: Simplify right side
    3,927.98x = 5,929,364.02
  5. Step 5: Solve for x
    x = 5,929,364.02/3,927.98
  6. Step 6: Final answer
    x = 1,509.52

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1.5x scale

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.