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Finding the Fourth Proportional to 5,722.07, 7,902.63 and 5,103.63

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Solution

The fourth proportional to 5,722.07, 7,902.63 and 5,103.63 is: 7,048.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,722.07 : 7,902.63 = 5,103.63 : x
  2. Step 2: Convert to fraction form
    5,722.07/7,902.63 = 5,103.63/x
  3. Step 3: Cross multiply
    5,722.07x = 7,902.63 × 5,103.63
  4. Step 4: Simplify right side
    5,722.07x = 40,332,099.55
  5. Step 5: Solve for x
    x = 40,332,099.55/5,722.07
  6. Step 6: Final answer
    x = 7,048.52

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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.