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Finding the Fourth Proportional to 4,641.88, 6,405.79 and 2,546

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Solution

The fourth proportional to 4,641.88, 6,405.79 and 2,546 is: 3,513.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.88 : 6,405.79 = 2,546 : x
  2. Step 2: Convert to fraction form
    4,641.88/6,405.79 = 2,546/x
  3. Step 3: Cross multiply
    4,641.88x = 6,405.79 × 2,546
  4. Step 4: Simplify right side
    4,641.88x = 16,309,141.34
  5. Step 5: Solve for x
    x = 16,309,141.34/4,641.88
  6. Step 6: Final answer
    x = 3,513.48

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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.