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Finding the Fourth Proportional to 6,053, 9,080.78 and 2,405

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Solution

The fourth proportional to 6,053, 9,080.78 and 2,405 is: 3,608.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,053 : 9,080.78 = 2,405 : x
  2. Step 2: Convert to fraction form
    6,053/9,080.78 = 2,405/x
  3. Step 3: Cross multiply
    6,053x = 9,080.78 × 2,405
  4. Step 4: Simplify right side
    6,053x = 21,839,275.90
  5. Step 5: Solve for x
    x = 21,839,275.90/6,053
  6. Step 6: Final answer
    x = 3,608.01

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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.