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Finding the Fourth Proportional to 3,137.19, 4,707.95 and 1,085.19

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Solution

The fourth proportional to 3,137.19, 4,707.95 and 1,085.19 is: 1,628.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.19 : 4,707.95 = 1,085.19 : x
  2. Step 2: Convert to fraction form
    3,137.19/4,707.95 = 1,085.19/x
  3. Step 3: Cross multiply
    3,137.19x = 4,707.95 × 1,085.19
  4. Step 4: Simplify right side
    3,137.19x = 5,109,014.83
  5. Step 5: Solve for x
    x = 5,109,014.83/3,137.19
  6. Step 6: Final answer
    x = 1,628.53

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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.