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Finding the Fourth Proportional to 4,556.88, 6,831.27 and 1,785.47

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Solution

The fourth proportional to 4,556.88, 6,831.27 and 1,785.47 is: 2,676.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,556.88 : 6,831.27 = 1,785.47 : x
  2. Step 2: Convert to fraction form
    4,556.88/6,831.27 = 1,785.47/x
  3. Step 3: Cross multiply
    4,556.88x = 6,831.27 × 1,785.47
  4. Step 4: Simplify right side
    4,556.88x = 12,196,993.49
  5. Step 5: Solve for x
    x = 12,196,993.49/4,556.88
  6. Step 6: Final answer
    x = 2,676.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.