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Finding the Fourth Proportional to 5,486.10, 8,205.15 and 4,905.30

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Solution

The fourth proportional to 5,486.10, 8,205.15 and 4,905.30 is: 7,336.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486.10 : 8,205.15 = 4,905.30 : x
  2. Step 2: Convert to fraction form
    5,486.10/8,205.15 = 4,905.30/x
  3. Step 3: Cross multiply
    5,486.10x = 8,205.15 × 4,905.30
  4. Step 4: Simplify right side
    5,486.10x = 40,248,722.30
  5. Step 5: Solve for x
    x = 40,248,722.30/5,486.10
  6. Step 6: Final answer
    x = 7,336.49

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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.