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Finding the Fourth Proportional to 4,606.46, 6,865.02 and 4,458.86

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Solution

The fourth proportional to 4,606.46, 6,865.02 and 4,458.86 is: 6,645.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.46 : 6,865.02 = 4,458.86 : x
  2. Step 2: Convert to fraction form
    4,606.46/6,865.02 = 4,458.86/x
  3. Step 3: Cross multiply
    4,606.46x = 6,865.02 × 4,458.86
  4. Step 4: Simplify right side
    4,606.46x = 30,610,163.08
  5. Step 5: Solve for x
    x = 30,610,163.08/4,606.46
  6. Step 6: Final answer
    x = 6,645.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.