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Finding the Fourth Proportional to 4,098.77, 6,148.91 and 2,020.20

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Solution

The fourth proportional to 4,098.77, 6,148.91 and 2,020.20 is: 3,030.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.77 : 6,148.91 = 2,020.20 : x
  2. Step 2: Convert to fraction form
    4,098.77/6,148.91 = 2,020.20/x
  3. Step 3: Cross multiply
    4,098.77x = 6,148.91 × 2,020.20
  4. Step 4: Simplify right side
    4,098.77x = 12,422,017.88
  5. Step 5: Solve for x
    x = 12,422,017.88/4,098.77
  6. Step 6: Final answer
    x = 3,030.67

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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.