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Finding the Fourth Proportional to 4,640.51, 6,401.52 and 3,046.93

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Solution

The fourth proportional to 4,640.51, 6,401.52 and 3,046.93 is: 4,203.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.51 : 6,401.52 = 3,046.93 : x
  2. Step 2: Convert to fraction form
    4,640.51/6,401.52 = 3,046.93/x
  3. Step 3: Cross multiply
    4,640.51x = 6,401.52 × 3,046.93
  4. Step 4: Simplify right side
    4,640.51x = 19,504,983.85
  5. Step 5: Solve for x
    x = 19,504,983.85/4,640.51
  6. Step 6: Final answer
    x = 4,203.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.