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Finding the Fourth Proportional to 4,148.56, 5,725.08 and 2,285.56

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Solution

The fourth proportional to 4,148.56, 5,725.08 and 2,285.56 is: 3,154.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,148.56 : 5,725.08 = 2,285.56 : x
  2. Step 2: Convert to fraction form
    4,148.56/5,725.08 = 2,285.56/x
  3. Step 3: Cross multiply
    4,148.56x = 5,725.08 × 2,285.56
  4. Step 4: Simplify right side
    4,148.56x = 13,085,013.84
  5. Step 5: Solve for x
    x = 13,085,013.84/4,148.56
  6. Step 6: Final answer
    x = 3,154.11

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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.