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Finding the Fourth Proportional to 5,754.83, 8,632.43 and 1,594.88

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Solution

The fourth proportional to 5,754.83, 8,632.43 and 1,594.88 is: 2,392.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.83 : 8,632.43 = 1,594.88 : x
  2. Step 2: Convert to fraction form
    5,754.83/8,632.43 = 1,594.88/x
  3. Step 3: Cross multiply
    5,754.83x = 8,632.43 × 1,594.88
  4. Step 4: Simplify right side
    5,754.83x = 13,767,715.53
  5. Step 5: Solve for x
    x = 13,767,715.53/5,754.83
  6. Step 6: Final answer
    x = 2,392.37

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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.