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Finding the Fourth Proportional to 5,658.94, 7,806.91 and 3,419.52

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Solution

The fourth proportional to 5,658.94, 7,806.91 and 3,419.52 is: 4,717.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658.94 : 7,806.91 = 3,419.52 : x
  2. Step 2: Convert to fraction form
    5,658.94/7,806.91 = 3,419.52/x
  3. Step 3: Cross multiply
    5,658.94x = 7,806.91 × 3,419.52
  4. Step 4: Simplify right side
    5,658.94x = 26,695,843.85
  5. Step 5: Solve for x
    x = 26,695,843.85/5,658.94
  6. Step 6: Final answer
    x = 4,717.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.