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Finding the Fourth Proportional to 3,970.56, 5,959.54 and 2,024.22

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Solution

The fourth proportional to 3,970.56, 5,959.54 and 2,024.22 is: 3,038.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.56 : 5,959.54 = 2,024.22 : x
  2. Step 2: Convert to fraction form
    3,970.56/5,959.54 = 2,024.22/x
  3. Step 3: Cross multiply
    3,970.56x = 5,959.54 × 2,024.22
  4. Step 4: Simplify right side
    3,970.56x = 12,063,420.06
  5. Step 5: Solve for x
    x = 12,063,420.06/3,970.56
  6. Step 6: Final answer
    x = 3,038.22

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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.