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Finding the Fourth Proportional to 4,641.93, 6,965.29 and 3,083.01

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Solution

The fourth proportional to 4,641.93, 6,965.29 and 3,083.01 is: 4,626.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.93 : 6,965.29 = 3,083.01 : x
  2. Step 2: Convert to fraction form
    4,641.93/6,965.29 = 3,083.01/x
  3. Step 3: Cross multiply
    4,641.93x = 6,965.29 × 3,083.01
  4. Step 4: Simplify right side
    4,641.93x = 21,474,058.72
  5. Step 5: Solve for x
    x = 21,474,058.72/4,641.93
  6. Step 6: Final answer
    x = 4,626.11

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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.