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Finding the Fourth Proportional to 3,509.44, 4,843 and 1,916.08

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Solution

The fourth proportional to 3,509.44, 4,843 and 1,916.08 is: 2,644.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.44 : 4,843 = 1,916.08 : x
  2. Step 2: Convert to fraction form
    3,509.44/4,843 = 1,916.08/x
  3. Step 3: Cross multiply
    3,509.44x = 4,843 × 1,916.08
  4. Step 4: Simplify right side
    3,509.44x = 9,279,575.44
  5. Step 5: Solve for x
    x = 9,279,575.44/3,509.44
  6. Step 6: Final answer
    x = 2,644.18

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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.