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Finding the Fourth Proportional to 4,852.50, 6,696.45 and 2,644.50

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Solution

The fourth proportional to 4,852.50, 6,696.45 and 2,644.50 is: 3,649.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,852.50 : 6,696.45 = 2,644.50 : x
  2. Step 2: Convert to fraction form
    4,852.50/6,696.45 = 2,644.50/x
  3. Step 3: Cross multiply
    4,852.50x = 6,696.45 × 2,644.50
  4. Step 4: Simplify right side
    4,852.50x = 17,708,762.03
  5. Step 5: Solve for x
    x = 17,708,762.03/4,852.50
  6. Step 6: Final answer
    x = 3,649.41

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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.