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Finding the Fourth Proportional to 5,820.16, 8,031.28 and 3,429.68

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Solution

The fourth proportional to 5,820.16, 8,031.28 and 3,429.68 is: 4,732.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,820.16 : 8,031.28 = 3,429.68 : x
  2. Step 2: Convert to fraction form
    5,820.16/8,031.28 = 3,429.68/x
  3. Step 3: Cross multiply
    5,820.16x = 8,031.28 × 3,429.68
  4. Step 4: Simplify right side
    5,820.16x = 27,544,720.39
  5. Step 5: Solve for x
    x = 27,544,720.39/5,820.16
  6. Step 6: Final answer
    x = 4,732.64

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