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Finding the Fourth Proportional to 3,205.86, 4,782.66 and 3,124.46

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Solution

The fourth proportional to 3,205.86, 4,782.66 and 3,124.46 is: 4,661.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.86 : 4,782.66 = 3,124.46 : x
  2. Step 2: Convert to fraction form
    3,205.86/4,782.66 = 3,124.46/x
  3. Step 3: Cross multiply
    3,205.86x = 4,782.66 × 3,124.46
  4. Step 4: Simplify right side
    3,205.86x = 14,943,205.95
  5. Step 5: Solve for x
    x = 14,943,205.95/3,205.86
  6. Step 6: Final answer
    x = 4,661.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.