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Finding the Fourth Proportional to 5,207.40, 7,810.74 and 1,311.84

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Solution

The fourth proportional to 5,207.40, 7,810.74 and 1,311.84 is: 1,967.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.40 : 7,810.74 = 1,311.84 : x
  2. Step 2: Convert to fraction form
    5,207.40/7,810.74 = 1,311.84/x
  3. Step 3: Cross multiply
    5,207.40x = 7,810.74 × 1,311.84
  4. Step 4: Simplify right side
    5,207.40x = 10,246,441.16
  5. Step 5: Solve for x
    x = 10,246,441.16/5,207.40
  6. Step 6: Final answer
    x = 1,967.67

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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.