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Finding the Fourth Proportional to 4,205, 5,803.08 and 2,342

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Solution

The fourth proportional to 4,205, 5,803.08 and 2,342 is: 3,232.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205 : 5,803.08 = 2,342 : x
  2. Step 2: Convert to fraction form
    4,205/5,803.08 = 2,342/x
  3. Step 3: Cross multiply
    4,205x = 5,803.08 × 2,342
  4. Step 4: Simplify right side
    4,205x = 13,590,813.36
  5. Step 5: Solve for x
    x = 13,590,813.36/4,205
  6. Step 6: Final answer
    x = 3,232.06

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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.