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Finding the Fourth Proportional to 3,405.96, 4,696.38 and 2,907.72

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Solution

The fourth proportional to 3,405.96, 4,696.38 and 2,907.72 is: 4,009.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.96 : 4,696.38 = 2,907.72 : x
  2. Step 2: Convert to fraction form
    3,405.96/4,696.38 = 2,907.72/x
  3. Step 3: Cross multiply
    3,405.96x = 4,696.38 × 2,907.72
  4. Step 4: Simplify right side
    3,405.96x = 13,655,758.05
  5. Step 5: Solve for x
    x = 13,655,758.05/3,405.96
  6. Step 6: Final answer
    x = 4,009.37

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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.