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Finding the Fourth Proportional to 4,058.63, 6,085.63 and 1,286

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Solution

The fourth proportional to 4,058.63, 6,085.63 and 1,286 is: 1,928.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,058.63 : 6,085.63 = 1,286 : x
  2. Step 2: Convert to fraction form
    4,058.63/6,085.63 = 1,286/x
  3. Step 3: Cross multiply
    4,058.63x = 6,085.63 × 1,286
  4. Step 4: Simplify right side
    4,058.63x = 7,826,120.18
  5. Step 5: Solve for x
    x = 7,826,120.18/4,058.63
  6. Step 6: Final answer
    x = 1,928.27

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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.