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Finding the Fourth Proportional to 3,509.56, 4,843.29 and 2,111.50

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Solution

The fourth proportional to 3,509.56, 4,843.29 and 2,111.50 is: 2,913.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.56 : 4,843.29 = 2,111.50 : x
  2. Step 2: Convert to fraction form
    3,509.56/4,843.29 = 2,111.50/x
  3. Step 3: Cross multiply
    3,509.56x = 4,843.29 × 2,111.50
  4. Step 4: Simplify right side
    3,509.56x = 10,226,606.84
  5. Step 5: Solve for x
    x = 10,226,606.84/3,509.56
  6. Step 6: Final answer
    x = 2,913.93

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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.