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Finding the Fourth Proportional to 4,632.84, 6,393.12 and 2,864.64

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Solution

The fourth proportional to 4,632.84, 6,393.12 and 2,864.64 is: 3,953.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,632.84 : 6,393.12 = 2,864.64 : x
  2. Step 2: Convert to fraction form
    4,632.84/6,393.12 = 2,864.64/x
  3. Step 3: Cross multiply
    4,632.84x = 6,393.12 × 2,864.64
  4. Step 4: Simplify right side
    4,632.84x = 18,313,987.28
  5. Step 5: Solve for x
    x = 18,313,987.28/4,632.84
  6. Step 6: Final answer
    x = 3,953.08

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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.