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Finding the Fourth Proportional to 3,970.43, 5,955.18 and 1,048.96

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Solution

The fourth proportional to 3,970.43, 5,955.18 and 1,048.96 is: 1,573.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.43 : 5,955.18 = 1,048.96 : x
  2. Step 2: Convert to fraction form
    3,970.43/5,955.18 = 1,048.96/x
  3. Step 3: Cross multiply
    3,970.43x = 5,955.18 × 1,048.96
  4. Step 4: Simplify right side
    3,970.43x = 6,246,728.10
  5. Step 5: Solve for x
    x = 6,246,728.10/3,970.43
  6. Step 6: Final answer
    x = 1,573.31

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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.