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Finding the Fourth Proportional to 5,301.68, 7,956.04 and 3,548.64

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Solution

The fourth proportional to 5,301.68, 7,956.04 and 3,548.64 is: 5,325.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301.68 : 7,956.04 = 3,548.64 : x
  2. Step 2: Convert to fraction form
    5,301.68/7,956.04 = 3,548.64/x
  3. Step 3: Cross multiply
    5,301.68x = 7,956.04 × 3,548.64
  4. Step 4: Simplify right side
    5,301.68x = 28,233,121.79
  5. Step 5: Solve for x
    x = 28,233,121.79/5,301.68
  6. Step 6: Final answer
    x = 5,325.32

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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.