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Finding the Fourth Proportional to 5,484, 7,568.04 and 3,000

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Solution

The fourth proportional to 5,484, 7,568.04 and 3,000 is: 4,140.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,484 : 7,568.04 = 3,000 : x
  2. Step 2: Convert to fraction form
    5,484/7,568.04 = 3,000/x
  3. Step 3: Cross multiply
    5,484x = 7,568.04 × 3,000
  4. Step 4: Simplify right side
    5,484x = 22,704,120
  5. Step 5: Solve for x
    x = 22,704,120/5,484
  6. Step 6: Final answer
    x = 4,140.07

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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.