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Finding the Fourth Proportional to 5,866.63, 8,106.48 and 4,801.38

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Solution

The fourth proportional to 5,866.63, 8,106.48 and 4,801.38 is: 6,634.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,866.63 : 8,106.48 = 4,801.38 : x
  2. Step 2: Convert to fraction form
    5,866.63/8,106.48 = 4,801.38/x
  3. Step 3: Cross multiply
    5,866.63x = 8,106.48 × 4,801.38
  4. Step 4: Simplify right side
    5,866.63x = 38,922,260.54
  5. Step 5: Solve for x
    x = 38,922,260.54/5,866.63
  6. Step 6: Final answer
    x = 6,634.52

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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.