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Finding the Fourth Proportional to 4,604.58, 6,897.76 and 4,063.30

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Solution

The fourth proportional to 4,604.58, 6,897.76 and 4,063.30 is: 6,086.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,604.58 : 6,897.76 = 4,063.30 : x
  2. Step 2: Convert to fraction form
    4,604.58/6,897.76 = 4,063.30/x
  3. Step 3: Cross multiply
    4,604.58x = 6,897.76 × 4,063.30
  4. Step 4: Simplify right side
    4,604.58x = 28,027,640.81
  5. Step 5: Solve for x
    x = 28,027,640.81/4,604.58
  6. Step 6: Final answer
    x = 6,086.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.