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Finding the Fourth Proportional to 4,674.31, 7,014.96 and 1,901.98

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Solution

The fourth proportional to 4,674.31, 7,014.96 and 1,901.98 is: 2,854.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.31 : 7,014.96 = 1,901.98 : x
  2. Step 2: Convert to fraction form
    4,674.31/7,014.96 = 1,901.98/x
  3. Step 3: Cross multiply
    4,674.31x = 7,014.96 × 1,901.98
  4. Step 4: Simplify right side
    4,674.31x = 13,342,313.62
  5. Step 5: Solve for x
    x = 13,342,313.62/4,674.31
  6. Step 6: Final answer
    x = 2,854.39

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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.