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Finding the Fourth Proportional to 3,301.63, 4,554.61 and 2,106.31

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Solution

The fourth proportional to 3,301.63, 4,554.61 and 2,106.31 is: 2,905.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.63 : 4,554.61 = 2,106.31 : x
  2. Step 2: Convert to fraction form
    3,301.63/4,554.61 = 2,106.31/x
  3. Step 3: Cross multiply
    3,301.63x = 4,554.61 × 2,106.31
  4. Step 4: Simplify right side
    3,301.63x = 9,593,420.59
  5. Step 5: Solve for x
    x = 9,593,420.59/3,301.63
  6. Step 6: Final answer
    x = 2,905.66

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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.