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Finding the Fourth Proportional to 3,430.41, 4,734 and 1,858.55

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Solution

The fourth proportional to 3,430.41, 4,734 and 1,858.55 is: 2,564.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.41 : 4,734 = 1,858.55 : x
  2. Step 2: Convert to fraction form
    3,430.41/4,734 = 1,858.55/x
  3. Step 3: Cross multiply
    3,430.41x = 4,734 × 1,858.55
  4. Step 4: Simplify right side
    3,430.41x = 8,798,352.03
  5. Step 5: Solve for x
    x = 8,798,352.03/3,430.41
  6. Step 6: Final answer
    x = 2,564.81

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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.