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Finding the Fourth Proportional to 4,672.86, 7,001.96 and 2,937.84

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Solution

The fourth proportional to 4,672.86, 7,001.96 and 2,937.84 is: 4,402.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.86 : 7,001.96 = 2,937.84 : x
  2. Step 2: Convert to fraction form
    4,672.86/7,001.96 = 2,937.84/x
  3. Step 3: Cross multiply
    4,672.86x = 7,001.96 × 2,937.84
  4. Step 4: Simplify right side
    4,672.86x = 20,570,623.48
  5. Step 5: Solve for x
    x = 20,570,623.48/4,672.86
  6. Step 6: Final answer
    x = 4,402.15

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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.