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Finding the Fourth Proportional to 4,137.85, 6,205.46 and 1,364.00

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Solution

The fourth proportional to 4,137.85, 6,205.46 and 1,364.00 is: 2,045.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137.85 : 6,205.46 = 1,364.00 : x
  2. Step 2: Convert to fraction form
    4,137.85/6,205.46 = 1,364.00/x
  3. Step 3: Cross multiply
    4,137.85x = 6,205.46 × 1,364.00
  4. Step 4: Simplify right side
    4,137.85x = 8,464,256.13
  5. Step 5: Solve for x
    x = 8,464,256.13/4,137.85
  6. Step 6: Final answer
    x = 2,045.57

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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.