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Finding the Fourth Proportional to 5,314.63, 7,988.16 and 5,189.89

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Solution

The fourth proportional to 5,314.63, 7,988.16 and 5,189.89 is: 7,800.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.63 : 7,988.16 = 5,189.89 : x
  2. Step 2: Convert to fraction form
    5,314.63/7,988.16 = 5,189.89/x
  3. Step 3: Cross multiply
    5,314.63x = 7,988.16 × 5,189.89
  4. Step 4: Simplify right side
    5,314.63x = 41,457,671.70
  5. Step 5: Solve for x
    x = 41,457,671.70/5,314.63
  6. Step 6: Final answer
    x = 7,800.67

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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.