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Finding the Fourth Proportional to 5,304.48, 7,956 and 1,556.16

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Solution

The fourth proportional to 5,304.48, 7,956 and 1,556.16 is: 2,334.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,304.48 : 7,956 = 1,556.16 : x
  2. Step 2: Convert to fraction form
    5,304.48/7,956 = 1,556.16/x
  3. Step 3: Cross multiply
    5,304.48x = 7,956 × 1,556.16
  4. Step 4: Simplify right side
    5,304.48x = 12,380,808.96
  5. Step 5: Solve for x
    x = 12,380,808.96/5,304.48
  6. Step 6: Final answer
    x = 2,334.03

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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.