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Finding the Fourth Proportional to 3,913.34, 5,866.04 and 2,453.51

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Solution

The fourth proportional to 3,913.34, 5,866.04 and 2,453.51 is: 3,677.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,913.34 : 5,866.04 = 2,453.51 : x
  2. Step 2: Convert to fraction form
    3,913.34/5,866.04 = 2,453.51/x
  3. Step 3: Cross multiply
    3,913.34x = 5,866.04 × 2,453.51
  4. Step 4: Simplify right side
    3,913.34x = 14,392,346.20
  5. Step 5: Solve for x
    x = 14,392,346.20/3,913.34
  6. Step 6: Final answer
    x = 3,677.77

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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.