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Finding the Fourth Proportional to 5,738.04, 8,605.71 and 1,578.38

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Solution

The fourth proportional to 5,738.04, 8,605.71 and 1,578.38 is: 2,367.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.04 : 8,605.71 = 1,578.38 : x
  2. Step 2: Convert to fraction form
    5,738.04/8,605.71 = 1,578.38/x
  3. Step 3: Cross multiply
    5,738.04x = 8,605.71 × 1,578.38
  4. Step 4: Simplify right side
    5,738.04x = 13,583,037.52
  5. Step 5: Solve for x
    x = 13,583,037.52/5,738.04
  6. Step 6: Final answer
    x = 2,367.19

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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.