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Finding the Fourth Proportional to 5,683.12, 8,506.24 and 4,895.80

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Solution

The fourth proportional to 5,683.12, 8,506.24 and 4,895.80 is: 7,327.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,683.12 : 8,506.24 = 4,895.80 : x
  2. Step 2: Convert to fraction form
    5,683.12/8,506.24 = 4,895.80/x
  3. Step 3: Cross multiply
    5,683.12x = 8,506.24 × 4,895.80
  4. Step 4: Simplify right side
    5,683.12x = 41,644,849.79
  5. Step 5: Solve for x
    x = 41,644,849.79/5,683.12
  6. Step 6: Final answer
    x = 7,327.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.