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Finding the Fourth Proportional to 5,314.93, 7,966.36 and 4,136.23

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Solution

The fourth proportional to 5,314.93, 7,966.36 and 4,136.23 is: 6,199.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.93 : 7,966.36 = 4,136.23 : x
  2. Step 2: Convert to fraction form
    5,314.93/7,966.36 = 4,136.23/x
  3. Step 3: Cross multiply
    5,314.93x = 7,966.36 × 4,136.23
  4. Step 4: Simplify right side
    5,314.93x = 32,950,718.17
  5. Step 5: Solve for x
    x = 32,950,718.17/5,314.93
  6. Step 6: Final answer
    x = 6,199.65

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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.