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Finding the Fourth Proportional to 3,085.58, 4,628.64 and 1,137.80

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Solution

The fourth proportional to 3,085.58, 4,628.64 and 1,137.80 is: 1,706.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085.58 : 4,628.64 = 1,137.80 : x
  2. Step 2: Convert to fraction form
    3,085.58/4,628.64 = 1,137.80/x
  3. Step 3: Cross multiply
    3,085.58x = 4,628.64 × 1,137.80
  4. Step 4: Simplify right side
    3,085.58x = 5,266,443.45
  5. Step 5: Solve for x
    x = 5,266,443.45/3,085.58
  6. Step 6: Final answer
    x = 1,706.79

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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.