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Finding the Fourth Proportional to 4,336.26, 5,973.30 and 4,113.90

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Solution

The fourth proportional to 4,336.26, 5,973.30 and 4,113.90 is: 5,666.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,336.26 : 5,973.30 = 4,113.90 : x
  2. Step 2: Convert to fraction form
    4,336.26/5,973.30 = 4,113.90/x
  3. Step 3: Cross multiply
    4,336.26x = 5,973.30 × 4,113.90
  4. Step 4: Simplify right side
    4,336.26x = 24,573,558.87
  5. Step 5: Solve for x
    x = 24,573,558.87/4,336.26
  6. Step 6: Final answer
    x = 5,666.99

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