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Finding the Fourth Proportional to 4,820.34, 7,230.52 and 1,699.62

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Solution

The fourth proportional to 4,820.34, 7,230.52 and 1,699.62 is: 2,549.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,820.34 : 7,230.52 = 1,699.62 : x
  2. Step 2: Convert to fraction form
    4,820.34/7,230.52 = 1,699.62/x
  3. Step 3: Cross multiply
    4,820.34x = 7,230.52 × 1,699.62
  4. Step 4: Simplify right side
    4,820.34x = 12,289,136.40
  5. Step 5: Solve for x
    x = 12,289,136.40/4,820.34
  6. Step 6: Final answer
    x = 2,549.43

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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.