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Finding the Fourth Proportional to 5,176.61, 7,758.43 and 4,076.63

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Solution

The fourth proportional to 5,176.61, 7,758.43 and 4,076.63 is: 6,109.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176.61 : 7,758.43 = 4,076.63 : x
  2. Step 2: Convert to fraction form
    5,176.61/7,758.43 = 4,076.63/x
  3. Step 3: Cross multiply
    5,176.61x = 7,758.43 × 4,076.63
  4. Step 4: Simplify right side
    5,176.61x = 31,628,189.32
  5. Step 5: Solve for x
    x = 31,628,189.32/5,176.61
  6. Step 6: Final answer
    x = 6,109.83

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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.