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Finding the Fourth Proportional to 3,699.70, 5,106.71 and 2,283.82

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Solution

The fourth proportional to 3,699.70, 5,106.71 and 2,283.82 is: 3,152.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.70 : 5,106.71 = 2,283.82 : x
  2. Step 2: Convert to fraction form
    3,699.70/5,106.71 = 2,283.82/x
  3. Step 3: Cross multiply
    3,699.70x = 5,106.71 × 2,283.82
  4. Step 4: Simplify right side
    3,699.70x = 11,662,799.37
  5. Step 5: Solve for x
    x = 11,662,799.37/3,699.70
  6. Step 6: Final answer
    x = 3,152.37

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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.