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Finding the Fourth Proportional to 3,660.48, 5,052 and 2,088.96

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Solution

The fourth proportional to 3,660.48, 5,052 and 2,088.96 is: 2,883.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.48 : 5,052 = 2,088.96 : x
  2. Step 2: Convert to fraction form
    3,660.48/5,052 = 2,088.96/x
  3. Step 3: Cross multiply
    3,660.48x = 5,052 × 2,088.96
  4. Step 4: Simplify right side
    3,660.48x = 10,553,425.92
  5. Step 5: Solve for x
    x = 10,553,425.92/3,660.48
  6. Step 6: Final answer
    x = 2,883.07

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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.