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Finding the Fourth Proportional to 5,733.63, 7,907.37 and 4,139.87

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Solution

The fourth proportional to 5,733.63, 7,907.37 and 4,139.87 is: 5,709.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,733.63 : 7,907.37 = 4,139.87 : x
  2. Step 2: Convert to fraction form
    5,733.63/7,907.37 = 4,139.87/x
  3. Step 3: Cross multiply
    5,733.63x = 7,907.37 × 4,139.87
  4. Step 4: Simplify right side
    5,733.63x = 32,735,444.31
  5. Step 5: Solve for x
    x = 32,735,444.31/5,733.63
  6. Step 6: Final answer
    x = 5,709.38

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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.