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Finding the Fourth Proportional to 3,426.85, 4,729.06 and 1,854.95

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Solution

The fourth proportional to 3,426.85, 4,729.06 and 1,854.95 is: 2,559.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426.85 : 4,729.06 = 1,854.95 : x
  2. Step 2: Convert to fraction form
    3,426.85/4,729.06 = 1,854.95/x
  3. Step 3: Cross multiply
    3,426.85x = 4,729.06 × 1,854.95
  4. Step 4: Simplify right side
    3,426.85x = 8,772,148.52
  5. Step 5: Solve for x
    x = 8,772,148.52/3,426.85
  6. Step 6: Final answer
    x = 2,559.83

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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.