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Finding the Fourth Proportional to 5,346.54, 7,362.09 and 4,785.21

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Solution

The fourth proportional to 5,346.54, 7,362.09 and 4,785.21 is: 6,589.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346.54 : 7,362.09 = 4,785.21 : x
  2. Step 2: Convert to fraction form
    5,346.54/7,362.09 = 4,785.21/x
  3. Step 3: Cross multiply
    5,346.54x = 7,362.09 × 4,785.21
  4. Step 4: Simplify right side
    5,346.54x = 35,229,146.69
  5. Step 5: Solve for x
    x = 35,229,146.69/5,346.54
  6. Step 6: Final answer
    x = 6,589.15

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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.