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Finding the Fourth Proportional to 4,148, 5,724.34 and 2,285

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Solution

The fourth proportional to 4,148, 5,724.34 and 2,285 is: 3,153.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,148 : 5,724.34 = 2,285 : x
  2. Step 2: Convert to fraction form
    4,148/5,724.34 = 2,285/x
  3. Step 3: Cross multiply
    4,148x = 5,724.34 × 2,285
  4. Step 4: Simplify right side
    4,148x = 13,080,116.90
  5. Step 5: Solve for x
    x = 13,080,116.90/4,148
  6. Step 6: Final answer
    x = 3,153.36

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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.