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Finding the Fourth Proportional to 4,664.07, 6,435.95 and 2,674.34

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Solution

The fourth proportional to 4,664.07, 6,435.95 and 2,674.34 is: 3,690.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664.07 : 6,435.95 = 2,674.34 : x
  2. Step 2: Convert to fraction form
    4,664.07/6,435.95 = 2,674.34/x
  3. Step 3: Cross multiply
    4,664.07x = 6,435.95 × 2,674.34
  4. Step 4: Simplify right side
    4,664.07x = 17,211,918.52
  5. Step 5: Solve for x
    x = 17,211,918.52/4,664.07
  6. Step 6: Final answer
    x = 3,690.32

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Why These Related Problems?

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