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Finding the Fourth Proportional to 5,596.36, 7,722.42 and 3,078.40

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Solution

The fourth proportional to 5,596.36, 7,722.42 and 3,078.40 is: 4,247.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,596.36 : 7,722.42 = 3,078.40 : x
  2. Step 2: Convert to fraction form
    5,596.36/7,722.42 = 3,078.40/x
  3. Step 3: Cross multiply
    5,596.36x = 7,722.42 × 3,078.40
  4. Step 4: Simplify right side
    5,596.36x = 23,772,697.73
  5. Step 5: Solve for x
    x = 23,772,697.73/5,596.36
  6. Step 6: Final answer
    x = 4,247.89

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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.