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Finding the Fourth Proportional to 5,788.64, 7,988.96 and 3,271.16

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Solution

The fourth proportional to 5,788.64, 7,988.96 and 3,271.16 is: 4,514.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788.64 : 7,988.96 = 3,271.16 : x
  2. Step 2: Convert to fraction form
    5,788.64/7,988.96 = 3,271.16/x
  3. Step 3: Cross multiply
    5,788.64x = 7,988.96 × 3,271.16
  4. Step 4: Simplify right side
    5,788.64x = 26,133,166.39
  5. Step 5: Solve for x
    x = 26,133,166.39/5,788.64
  6. Step 6: Final answer
    x = 4,514.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.