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Finding the Fourth Proportional to 4,838.10, 7,258.19 and 2,064.82

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Solution

The fourth proportional to 4,838.10, 7,258.19 and 2,064.82 is: 3,097.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838.10 : 7,258.19 = 2,064.82 : x
  2. Step 2: Convert to fraction form
    4,838.10/7,258.19 = 2,064.82/x
  3. Step 3: Cross multiply
    4,838.10x = 7,258.19 × 2,064.82
  4. Step 4: Simplify right side
    4,838.10x = 14,986,855.88
  5. Step 5: Solve for x
    x = 14,986,855.88/4,838.10
  6. Step 6: Final answer
    x = 3,097.67

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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.