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Finding the Fourth Proportional to 3,862.14, 5,794.11 and 1,264.92

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Solution

The fourth proportional to 3,862.14, 5,794.11 and 1,264.92 is: 1,897.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.14 : 5,794.11 = 1,264.92 : x
  2. Step 2: Convert to fraction form
    3,862.14/5,794.11 = 1,264.92/x
  3. Step 3: Cross multiply
    3,862.14x = 5,794.11 × 1,264.92
  4. Step 4: Simplify right side
    3,862.14x = 7,329,085.62
  5. Step 5: Solve for x
    x = 7,329,085.62/3,862.14
  6. Step 6: Final answer
    x = 1,897.67

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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.