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Finding the Fourth Proportional to 4,574.45, 6,856.21 and 2,106.79

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Solution

The fourth proportional to 4,574.45, 6,856.21 and 2,106.79 is: 3,157.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574.45 : 6,856.21 = 2,106.79 : x
  2. Step 2: Convert to fraction form
    4,574.45/6,856.21 = 2,106.79/x
  3. Step 3: Cross multiply
    4,574.45x = 6,856.21 × 2,106.79
  4. Step 4: Simplify right side
    4,574.45x = 14,444,594.67
  5. Step 5: Solve for x
    x = 14,444,594.67/4,574.45
  6. Step 6: Final answer
    x = 3,157.67

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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.