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Finding the Fourth Proportional to 4,670.86, 6,445.78 and 2,574.99

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Solution

The fourth proportional to 4,670.86, 6,445.78 and 2,574.99 is: 3,553.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.86 : 6,445.78 = 2,574.99 : x
  2. Step 2: Convert to fraction form
    4,670.86/6,445.78 = 2,574.99/x
  3. Step 3: Cross multiply
    4,670.86x = 6,445.78 × 2,574.99
  4. Step 4: Simplify right side
    4,670.86x = 16,597,819.04
  5. Step 5: Solve for x
    x = 16,597,819.04/4,670.86
  6. Step 6: Final answer
    x = 3,553.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.