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Finding the Fourth Proportional to 3,758.54, 5,628.08 and 2,592.14

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Solution

The fourth proportional to 3,758.54, 5,628.08 and 2,592.14 is: 3,881.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.54 : 5,628.08 = 2,592.14 : x
  2. Step 2: Convert to fraction form
    3,758.54/5,628.08 = 2,592.14/x
  3. Step 3: Cross multiply
    3,758.54x = 5,628.08 × 2,592.14
  4. Step 4: Simplify right side
    3,758.54x = 14,588,771.29
  5. Step 5: Solve for x
    x = 14,588,771.29/3,758.54
  6. Step 6: Final answer
    x = 3,881.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.