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Finding the Fourth Proportional to 3,716.12, 5,574.36 and 3,065.68

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Solution

The fourth proportional to 3,716.12, 5,574.36 and 3,065.68 is: 4,598.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,716.12 : 5,574.36 = 3,065.68 : x
  2. Step 2: Convert to fraction form
    3,716.12/5,574.36 = 3,065.68/x
  3. Step 3: Cross multiply
    3,716.12x = 5,574.36 × 3,065.68
  4. Step 4: Simplify right side
    3,716.12x = 17,089,203.96
  5. Step 5: Solve for x
    x = 17,089,203.96/3,716.12
  6. Step 6: Final answer
    x = 4,598.67

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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.