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Finding the Fourth Proportional to 5,729.68, 8,594.34 and 1,625.68

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Solution

The fourth proportional to 5,729.68, 8,594.34 and 1,625.68 is: 2,438.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.68 : 8,594.34 = 1,625.68 : x
  2. Step 2: Convert to fraction form
    5,729.68/8,594.34 = 1,625.68/x
  3. Step 3: Cross multiply
    5,729.68x = 8,594.34 × 1,625.68
  4. Step 4: Simplify right side
    5,729.68x = 13,971,646.65
  5. Step 5: Solve for x
    x = 13,971,646.65/5,729.68
  6. Step 6: Final answer
    x = 2,438.47

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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.