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Finding the Fourth Proportional to 3,458.52, 4,772.74 and 1,886.68

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Solution

The fourth proportional to 3,458.52, 4,772.74 and 1,886.68 is: 2,603.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.52 : 4,772.74 = 1,886.68 : x
  2. Step 2: Convert to fraction form
    3,458.52/4,772.74 = 1,886.68/x
  3. Step 3: Cross multiply
    3,458.52x = 4,772.74 × 1,886.68
  4. Step 4: Simplify right side
    3,458.52x = 9,004,633.10
  5. Step 5: Solve for x
    x = 9,004,633.10/3,458.52
  6. Step 6: Final answer
    x = 2,603.61

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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.