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Finding the Fourth Proportional to 5,766.68, 8,645.04 and 4,894.88

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Solution

The fourth proportional to 5,766.68, 8,645.04 and 4,894.88 is: 7,338.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.68 : 8,645.04 = 4,894.88 : x
  2. Step 2: Convert to fraction form
    5,766.68/8,645.04 = 4,894.88/x
  3. Step 3: Cross multiply
    5,766.68x = 8,645.04 × 4,894.88
  4. Step 4: Simplify right side
    5,766.68x = 42,316,433.40
  5. Step 5: Solve for x
    x = 42,316,433.40/5,766.68
  6. Step 6: Final answer
    x = 7,338.09

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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.