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Finding the Fourth Proportional to 5,252.15, 7,873.98 and 1,964.77

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Solution

The fourth proportional to 5,252.15, 7,873.98 and 1,964.77 is: 2,945.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.15 : 7,873.98 = 1,964.77 : x
  2. Step 2: Convert to fraction form
    5,252.15/7,873.98 = 1,964.77/x
  3. Step 3: Cross multiply
    5,252.15x = 7,873.98 × 1,964.77
  4. Step 4: Simplify right side
    5,252.15x = 15,470,532.63
  5. Step 5: Solve for x
    x = 15,470,532.63/5,252.15
  6. Step 6: Final answer
    x = 2,945.56

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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.