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Finding the Fourth Proportional to 3,541.92, 4,888.08 and 2,301.60

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Solution

The fourth proportional to 3,541.92, 4,888.08 and 2,301.60 is: 3,176.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,541.92 : 4,888.08 = 2,301.60 : x
  2. Step 2: Convert to fraction form
    3,541.92/4,888.08 = 2,301.60/x
  3. Step 3: Cross multiply
    3,541.92x = 4,888.08 × 2,301.60
  4. Step 4: Simplify right side
    3,541.92x = 11,250,404.93
  5. Step 5: Solve for x
    x = 11,250,404.93/3,541.92
  6. Step 6: Final answer
    x = 3,176.36

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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.