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Finding the Fourth Proportional to 3,430.37, 4,733.92 and 1,858.46

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Solution

The fourth proportional to 3,430.37, 4,733.92 and 1,858.46 is: 2,564.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.37 : 4,733.92 = 1,858.46 : x
  2. Step 2: Convert to fraction form
    3,430.37/4,733.92 = 1,858.46/x
  3. Step 3: Cross multiply
    3,430.37x = 4,733.92 × 1,858.46
  4. Step 4: Simplify right side
    3,430.37x = 8,797,772.65
  5. Step 5: Solve for x
    x = 8,797,772.65/3,430.37
  6. Step 6: Final answer
    x = 2,564.68

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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.