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Finding the Fourth Proportional to 5,136.63, 7,665.60 and 4,583

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Solution

The fourth proportional to 5,136.63, 7,665.60 and 4,583 is: 6,839.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136.63 : 7,665.60 = 4,583 : x
  2. Step 2: Convert to fraction form
    5,136.63/7,665.60 = 4,583/x
  3. Step 3: Cross multiply
    5,136.63x = 7,665.60 × 4,583
  4. Step 4: Simplify right side
    5,136.63x = 35,131,444.80
  5. Step 5: Solve for x
    x = 35,131,444.80/5,136.63
  6. Step 6: Final answer
    x = 6,839.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.