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Finding the Fourth Proportional to 3,038, 4,557.44 and 957.30

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Solution

The fourth proportional to 3,038, 4,557.44 and 957.30 is: 1,436.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038 : 4,557.44 = 957.30 : x
  2. Step 2: Convert to fraction form
    3,038/4,557.44 = 957.30/x
  3. Step 3: Cross multiply
    3,038x = 4,557.44 × 957.30
  4. Step 4: Simplify right side
    3,038x = 4,362,837.31
  5. Step 5: Solve for x
    x = 4,362,837.31/3,038
  6. Step 6: Final answer
    x = 1,436.09

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Why These Related Problems?

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