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Finding the Fourth Proportional to 3,458.65, 5,188.27 and 1,484.36

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Solution

The fourth proportional to 3,458.65, 5,188.27 and 1,484.36 is: 2,226.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.65 : 5,188.27 = 1,484.36 : x
  2. Step 2: Convert to fraction form
    3,458.65/5,188.27 = 1,484.36/x
  3. Step 3: Cross multiply
    3,458.65x = 5,188.27 × 1,484.36
  4. Step 4: Simplify right side
    3,458.65x = 7,701,260.46
  5. Step 5: Solve for x
    x = 7,701,260.46/3,458.65
  6. Step 6: Final answer
    x = 2,226.67

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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.