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Finding the Fourth Proportional to 5,783.10, 8,674.65 and 4,136.10

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Solution

The fourth proportional to 5,783.10, 8,674.65 and 4,136.10 is: 6,204.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.10 : 8,674.65 = 4,136.10 : x
  2. Step 2: Convert to fraction form
    5,783.10/8,674.65 = 4,136.10/x
  3. Step 3: Cross multiply
    5,783.10x = 8,674.65 × 4,136.10
  4. Step 4: Simplify right side
    5,783.10x = 35,879,219.87
  5. Step 5: Solve for x
    x = 35,879,219.87/5,783.10
  6. Step 6: Final answer
    x = 6,204.15

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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.