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Finding the Fourth Proportional to 3,407.04, 4,701.80 and 2,661.84

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Solution

The fourth proportional to 3,407.04, 4,701.80 and 2,661.84 is: 3,673.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.04 : 4,701.80 = 2,661.84 : x
  2. Step 2: Convert to fraction form
    3,407.04/4,701.80 = 2,661.84/x
  3. Step 3: Cross multiply
    3,407.04x = 4,701.80 × 2,661.84
  4. Step 4: Simplify right side
    3,407.04x = 12,515,439.31
  5. Step 5: Solve for x
    x = 12,515,439.31/3,407.04
  6. Step 6: Final answer
    x = 3,673.41

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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.