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Finding the Fourth Proportional to 3,758.57, 5,636.92 and 1,783.68

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Solution

The fourth proportional to 3,758.57, 5,636.92 and 1,783.68 is: 2,675.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.57 : 5,636.92 = 1,783.68 : x
  2. Step 2: Convert to fraction form
    3,758.57/5,636.92 = 1,783.68/x
  3. Step 3: Cross multiply
    3,758.57x = 5,636.92 × 1,783.68
  4. Step 4: Simplify right side
    3,758.57x = 10,054,461.47
  5. Step 5: Solve for x
    x = 10,054,461.47/3,758.57
  6. Step 6: Final answer
    x = 2,675.08

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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.