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Finding the Fourth Proportional to 4,700.38, 6,486.73 and 2,604.50

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Solution

The fourth proportional to 4,700.38, 6,486.73 and 2,604.50 is: 3,594.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.38 : 6,486.73 = 2,604.50 : x
  2. Step 2: Convert to fraction form
    4,700.38/6,486.73 = 2,604.50/x
  3. Step 3: Cross multiply
    4,700.38x = 6,486.73 × 2,604.50
  4. Step 4: Simplify right side
    4,700.38x = 16,894,688.29
  5. Step 5: Solve for x
    x = 16,894,688.29/4,700.38
  6. Step 6: Final answer
    x = 3,594.33

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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.