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Finding the Fourth Proportional to 3,137.73, 4,703.14 and 1,574.63

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Solution

The fourth proportional to 3,137.73, 4,703.14 and 1,574.63 is: 2,360.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.73 : 4,703.14 = 1,574.63 : x
  2. Step 2: Convert to fraction form
    3,137.73/4,703.14 = 1,574.63/x
  3. Step 3: Cross multiply
    3,137.73x = 4,703.14 × 1,574.63
  4. Step 4: Simplify right side
    3,137.73x = 7,405,705.34
  5. Step 5: Solve for x
    x = 7,405,705.34/3,137.73
  6. Step 6: Final answer
    x = 2,360.21

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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.