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Finding the Fourth Proportional to 3,429.98, 4,733.39 and 1,858.07

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Solution

The fourth proportional to 3,429.98, 4,733.39 and 1,858.07 is: 2,564.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.98 : 4,733.39 = 1,858.07 : x
  2. Step 2: Convert to fraction form
    3,429.98/4,733.39 = 1,858.07/x
  3. Step 3: Cross multiply
    3,429.98x = 4,733.39 × 1,858.07
  4. Step 4: Simplify right side
    3,429.98x = 8,794,986.44
  5. Step 5: Solve for x
    x = 8,794,986.44/3,429.98
  6. Step 6: Final answer
    x = 2,564.15

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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.