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Finding the Fourth Proportional to 5,672.64, 7,829.79 and 3,683.09

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Solution

The fourth proportional to 5,672.64, 7,829.79 and 3,683.09 is: 5,083.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.64 : 7,829.79 = 3,683.09 : x
  2. Step 2: Convert to fraction form
    5,672.64/7,829.79 = 3,683.09/x
  3. Step 3: Cross multiply
    5,672.64x = 7,829.79 × 3,683.09
  4. Step 4: Simplify right side
    5,672.64x = 28,837,782.10
  5. Step 5: Solve for x
    x = 28,837,782.10/5,672.64
  6. Step 6: Final answer
    x = 5,083.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.