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Finding the Fourth Proportional to 3,775.80, 5,210.35 and 2,359.41

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Solution

The fourth proportional to 3,775.80, 5,210.35 and 2,359.41 is: 3,255.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.80 : 5,210.35 = 2,359.41 : x
  2. Step 2: Convert to fraction form
    3,775.80/5,210.35 = 2,359.41/x
  3. Step 3: Cross multiply
    3,775.80x = 5,210.35 × 2,359.41
  4. Step 4: Simplify right side
    3,775.80x = 12,293,351.89
  5. Step 5: Solve for x
    x = 12,293,351.89/3,775.80
  6. Step 6: Final answer
    x = 3,255.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.