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Finding the Fourth Proportional to 3,137, 4,707.42 and 1,313

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Solution

The fourth proportional to 3,137, 4,707.42 and 1,313 is: 1,970.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137 : 4,707.42 = 1,313 : x
  2. Step 2: Convert to fraction form
    3,137/4,707.42 = 1,313/x
  3. Step 3: Cross multiply
    3,137x = 4,707.42 × 1,313
  4. Step 4: Simplify right side
    3,137x = 6,180,842.46
  5. Step 5: Solve for x
    x = 6,180,842.46/3,137
  6. Step 6: Final answer
    x = 1,970.30

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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.