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Finding the Fourth Proportional to 3,430.31, 4,733.83 and 1,858.41

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Solution

The fourth proportional to 3,430.31, 4,733.83 and 1,858.41 is: 2,564.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.31 : 4,733.83 = 1,858.41 : x
  2. Step 2: Convert to fraction form
    3,430.31/4,733.83 = 1,858.41/x
  3. Step 3: Cross multiply
    3,430.31x = 4,733.83 × 1,858.41
  4. Step 4: Simplify right side
    3,430.31x = 8,797,397.01
  5. Step 5: Solve for x
    x = 8,797,397.01/3,430.31
  6. Step 6: Final answer
    x = 2,564.61

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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.