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Finding the Fourth Proportional to 5,162.94, 7,744.77 and 2,970.72

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Solution

The fourth proportional to 5,162.94, 7,744.77 and 2,970.72 is: 4,456.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.94 : 7,744.77 = 2,970.72 : x
  2. Step 2: Convert to fraction form
    5,162.94/7,744.77 = 2,970.72/x
  3. Step 3: Cross multiply
    5,162.94x = 7,744.77 × 2,970.72
  4. Step 4: Simplify right side
    5,162.94x = 23,007,543.13
  5. Step 5: Solve for x
    x = 23,007,543.13/5,162.94
  6. Step 6: Final answer
    x = 4,456.29

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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.