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Finding the Fourth Proportional to 5,634.76, 8,455.04 and 4,108.36

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Solution

The fourth proportional to 5,634.76, 8,455.04 and 4,108.36 is: 6,164.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,634.76 : 8,455.04 = 4,108.36 : x
  2. Step 2: Convert to fraction form
    5,634.76/8,455.04 = 4,108.36/x
  3. Step 3: Cross multiply
    5,634.76x = 8,455.04 × 4,108.36
  4. Step 4: Simplify right side
    5,634.76x = 34,736,348.13
  5. Step 5: Solve for x
    x = 34,736,348.13/5,634.76
  6. Step 6: Final answer
    x = 6,164.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.