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Finding the Fourth Proportional to 5,102.19, 7,648.56 and 1,814.67

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Solution

The fourth proportional to 5,102.19, 7,648.56 and 1,814.67 is: 2,720.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.19 : 7,648.56 = 1,814.67 : x
  2. Step 2: Convert to fraction form
    5,102.19/7,648.56 = 1,814.67/x
  3. Step 3: Cross multiply
    5,102.19x = 7,648.56 × 1,814.67
  4. Step 4: Simplify right side
    5,102.19x = 13,879,612.38
  5. Step 5: Solve for x
    x = 13,879,612.38/5,102.19
  6. Step 6: Final answer
    x = 2,720.32

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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.