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Finding the Fourth Proportional to 3,701.99, 5,554.10 and 2,141.64

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Solution

The fourth proportional to 3,701.99, 5,554.10 and 2,141.64 is: 3,213.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,701.99 : 5,554.10 = 2,141.64 : x
  2. Step 2: Convert to fraction form
    3,701.99/5,554.10 = 2,141.64/x
  3. Step 3: Cross multiply
    3,701.99x = 5,554.10 × 2,141.64
  4. Step 4: Simplify right side
    3,701.99x = 11,894,888.08
  5. Step 5: Solve for x
    x = 11,894,888.08/3,701.99
  6. Step 6: Final answer
    x = 3,213.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.