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Finding the Fourth Proportional to 3,509.56, 4,844 and 2,184.28

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Solution

The fourth proportional to 3,509.56, 4,844 and 2,184.28 is: 3,014.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.56 : 4,844 = 2,184.28 : x
  2. Step 2: Convert to fraction form
    3,509.56/4,844 = 2,184.28/x
  3. Step 3: Cross multiply
    3,509.56x = 4,844 × 2,184.28
  4. Step 4: Simplify right side
    3,509.56x = 10,580,652.32
  5. Step 5: Solve for x
    x = 10,580,652.32/3,509.56
  6. Step 6: Final answer
    x = 3,014.81

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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.