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Finding the Fourth Proportional to 5,484, 8,229.78 and 4,752.84

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Solution

The fourth proportional to 5,484, 8,229.78 and 4,752.84 is: 7,132.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,484 : 8,229.78 = 4,752.84 : x
  2. Step 2: Convert to fraction form
    5,484/8,229.78 = 4,752.84/x
  3. Step 3: Cross multiply
    5,484x = 8,229.78 × 4,752.84
  4. Step 4: Simplify right side
    5,484x = 39,114,827.58
  5. Step 5: Solve for x
    x = 39,114,827.58/5,484
  6. Step 6: Final answer
    x = 7,132.54

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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.