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Finding the Fourth Proportional to 3,486.94, 4,810.20 and 2,226.67

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Solution

The fourth proportional to 3,486.94, 4,810.20 and 2,226.67 is: 3,071.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.94 : 4,810.20 = 2,226.67 : x
  2. Step 2: Convert to fraction form
    3,486.94/4,810.20 = 2,226.67/x
  3. Step 3: Cross multiply
    3,486.94x = 4,810.20 × 2,226.67
  4. Step 4: Simplify right side
    3,486.94x = 10,710,734.72
  5. Step 5: Solve for x
    x = 10,710,734.72/3,486.94
  6. Step 6: Final answer
    x = 3,071.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.