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Finding the Fourth Proportional to 3,049.59, 4,571.64 and 1,405.29

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Solution

The fourth proportional to 3,049.59, 4,571.64 and 1,405.29 is: 2,106.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.59 : 4,571.64 = 1,405.29 : x
  2. Step 2: Convert to fraction form
    3,049.59/4,571.64 = 1,405.29/x
  3. Step 3: Cross multiply
    3,049.59x = 4,571.64 × 1,405.29
  4. Step 4: Simplify right side
    3,049.59x = 6,424,479.98
  5. Step 5: Solve for x
    x = 6,424,479.98/3,049.59
  6. Step 6: Final answer
    x = 2,106.67

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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.