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Finding the Fourth Proportional to 3,686.70, 5,529.30 and 2,308.50

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Solution

The fourth proportional to 3,686.70, 5,529.30 and 2,308.50 is: 3,462.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.70 : 5,529.30 = 2,308.50 : x
  2. Step 2: Convert to fraction form
    3,686.70/5,529.30 = 2,308.50/x
  3. Step 3: Cross multiply
    3,686.70x = 5,529.30 × 2,308.50
  4. Step 4: Simplify right side
    3,686.70x = 12,764,389.05
  5. Step 5: Solve for x
    x = 12,764,389.05/3,686.70
  6. Step 6: Final answer
    x = 3,462.28

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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.