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Finding the Fourth Proportional to 5,136.76, 7,667.98 and 4,513.98

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Solution

The fourth proportional to 5,136.76, 7,667.98 and 4,513.98 is: 6,738.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136.76 : 7,667.98 = 4,513.98 : x
  2. Step 2: Convert to fraction form
    5,136.76/7,667.98 = 4,513.98/x
  3. Step 3: Cross multiply
    5,136.76x = 7,667.98 × 4,513.98
  4. Step 4: Simplify right side
    5,136.76x = 34,613,108.36
  5. Step 5: Solve for x
    x = 34,613,108.36/5,136.76
  6. Step 6: Final answer
    x = 6,738.32

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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.