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Finding the Fourth Proportional to 5,136.51, 7,664.42 and 4,823.04

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Solution

The fourth proportional to 5,136.51, 7,664.42 and 4,823.04 is: 7,196.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136.51 : 7,664.42 = 4,823.04 : x
  2. Step 2: Convert to fraction form
    5,136.51/7,664.42 = 4,823.04/x
  3. Step 3: Cross multiply
    5,136.51x = 7,664.42 × 4,823.04
  4. Step 4: Simplify right side
    5,136.51x = 36,965,780.12
  5. Step 5: Solve for x
    x = 36,965,780.12/5,136.51
  6. Step 6: Final answer
    x = 7,196.67

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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.