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Finding the Fourth Proportional to 4,204.56, 5,802.36 and 2,341.56

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Solution

The fourth proportional to 4,204.56, 5,802.36 and 2,341.56 is: 3,231.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,204.56 : 5,802.36 = 2,341.56 : x
  2. Step 2: Convert to fraction form
    4,204.56/5,802.36 = 2,341.56/x
  3. Step 3: Cross multiply
    4,204.56x = 5,802.36 × 2,341.56
  4. Step 4: Simplify right side
    4,204.56x = 13,586,574.08
  5. Step 5: Solve for x
    x = 13,586,574.08/4,204.56
  6. Step 6: Final answer
    x = 3,231.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.