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Finding the Fourth Proportional to 5,674.99, 8,509.78 and 1,976.76

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Solution

The fourth proportional to 5,674.99, 8,509.78 and 1,976.76 is: 2,964.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.99 : 8,509.78 = 1,976.76 : x
  2. Step 2: Convert to fraction form
    5,674.99/8,509.78 = 1,976.76/x
  3. Step 3: Cross multiply
    5,674.99x = 8,509.78 × 1,976.76
  4. Step 4: Simplify right side
    5,674.99x = 16,821,792.71
  5. Step 5: Solve for x
    x = 16,821,792.71/5,674.99
  6. Step 6: Final answer
    x = 2,964.20

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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.