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Finding the Fourth Proportional to 3,474.64, 5,212.40 and 1,526.64

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Solution

The fourth proportional to 3,474.64, 5,212.40 and 1,526.64 is: 2,290.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.64 : 5,212.40 = 1,526.64 : x
  2. Step 2: Convert to fraction form
    3,474.64/5,212.40 = 1,526.64/x
  3. Step 3: Cross multiply
    3,474.64x = 5,212.40 × 1,526.64
  4. Step 4: Simplify right side
    3,474.64x = 7,957,458.34
  5. Step 5: Solve for x
    x = 7,957,458.34/3,474.64
  6. Step 6: Final answer
    x = 2,290.15

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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.