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Finding the Fourth Proportional to 5,382, 8,076.24 and 2,304

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Solution

The fourth proportional to 5,382, 8,076.24 and 2,304 is: 3,457.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382 : 8,076.24 = 2,304 : x
  2. Step 2: Convert to fraction form
    5,382/8,076.24 = 2,304/x
  3. Step 3: Cross multiply
    5,382x = 8,076.24 × 2,304
  4. Step 4: Simplify right side
    5,382x = 18,607,656.96
  5. Step 5: Solve for x
    x = 18,607,656.96/5,382
  6. Step 6: Final answer
    x = 3,457.39

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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.