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Finding the Fourth Proportional to 4,757.60, 7,136.40 and 2,416.70

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Solution

The fourth proportional to 4,757.60, 7,136.40 and 2,416.70 is: 3,625.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.60 : 7,136.40 = 2,416.70 : x
  2. Step 2: Convert to fraction form
    4,757.60/7,136.40 = 2,416.70/x
  3. Step 3: Cross multiply
    4,757.60x = 7,136.40 × 2,416.70
  4. Step 4: Simplify right side
    4,757.60x = 17,246,537.88
  5. Step 5: Solve for x
    x = 17,246,537.88/4,757.60
  6. Step 6: Final answer
    x = 3,625.05

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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.