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Finding the Fourth Proportional to 5,307.86, 7,324.25 and 3,069.39

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Solution

The fourth proportional to 5,307.86, 7,324.25 and 3,069.39 is: 4,235.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.86 : 7,324.25 = 3,069.39 : x
  2. Step 2: Convert to fraction form
    5,307.86/7,324.25 = 3,069.39/x
  3. Step 3: Cross multiply
    5,307.86x = 7,324.25 × 3,069.39
  4. Step 4: Simplify right side
    5,307.86x = 22,480,964.36
  5. Step 5: Solve for x
    x = 22,480,964.36/5,307.86
  6. Step 6: Final answer
    x = 4,235.41

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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.