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Finding the Fourth Proportional to 3,870.37, 5,809.65 and 2,410.55

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Solution

The fourth proportional to 3,870.37, 5,809.65 and 2,410.55 is: 3,618.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.37 : 5,809.65 = 2,410.55 : x
  2. Step 2: Convert to fraction form
    3,870.37/5,809.65 = 2,410.55/x
  3. Step 3: Cross multiply
    3,870.37x = 5,809.65 × 2,410.55
  4. Step 4: Simplify right side
    3,870.37x = 14,004,451.81
  5. Step 5: Solve for x
    x = 14,004,451.81/3,870.37
  6. Step 6: Final answer
    x = 3,618.38

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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.