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Finding the Fourth Proportional to 5,766.34, 8,645.56 and 2,068.49

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Solution

The fourth proportional to 5,766.34, 8,645.56 and 2,068.49 is: 3,101.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.34 : 8,645.56 = 2,068.49 : x
  2. Step 2: Convert to fraction form
    5,766.34/8,645.56 = 2,068.49/x
  3. Step 3: Cross multiply
    5,766.34x = 8,645.56 × 2,068.49
  4. Step 4: Simplify right side
    5,766.34x = 17,883,254.40
  5. Step 5: Solve for x
    x = 17,883,254.40/5,766.34
  6. Step 6: Final answer
    x = 3,101.32

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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.