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Finding the Fourth Proportional to 3,526.71, 5,289.56 and 2,469.32

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Solution

The fourth proportional to 3,526.71, 5,289.56 and 2,469.32 is: 3,703.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,526.71 : 5,289.56 = 2,469.32 : x
  2. Step 2: Convert to fraction form
    3,526.71/5,289.56 = 2,469.32/x
  3. Step 3: Cross multiply
    3,526.71x = 5,289.56 × 2,469.32
  4. Step 4: Simplify right side
    3,526.71x = 13,061,577.50
  5. Step 5: Solve for x
    x = 13,061,577.50/3,526.71
  6. Step 6: Final answer
    x = 3,703.62

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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.