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Finding the Fourth Proportional to 3,426.63, 4,726.31 and 2,364.80

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Solution

The fourth proportional to 3,426.63, 4,726.31 and 2,364.80 is: 3,261.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426.63 : 4,726.31 = 2,364.80 : x
  2. Step 2: Convert to fraction form
    3,426.63/4,726.31 = 2,364.80/x
  3. Step 3: Cross multiply
    3,426.63x = 4,726.31 × 2,364.80
  4. Step 4: Simplify right side
    3,426.63x = 11,176,777.89
  5. Step 5: Solve for x
    x = 11,176,777.89/3,426.63
  6. Step 6: Final answer
    x = 3,261.74

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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.