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Finding the Fourth Proportional to 5,744.95, 8,617.13 and 1,584.99

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Solution

The fourth proportional to 5,744.95, 8,617.13 and 1,584.99 is: 2,377.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.95 : 8,617.13 = 1,584.99 : x
  2. Step 2: Convert to fraction form
    5,744.95/8,617.13 = 1,584.99/x
  3. Step 3: Cross multiply
    5,744.95x = 8,617.13 × 1,584.99
  4. Step 4: Simplify right side
    5,744.95x = 13,658,056.95
  5. Step 5: Solve for x
    x = 13,658,056.95/5,744.95
  6. Step 6: Final answer
    x = 2,377.40

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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.