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Finding the Fourth Proportional to 5,166, 7,756.89 and 4,554.86

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Solution

The fourth proportional to 5,166, 7,756.89 and 4,554.86 is: 6,839.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166 : 7,756.89 = 4,554.86 : x
  2. Step 2: Convert to fraction form
    5,166/7,756.89 = 4,554.86/x
  3. Step 3: Cross multiply
    5,166x = 7,756.89 × 4,554.86
  4. Step 4: Simplify right side
    5,166x = 35,331,509.20
  5. Step 5: Solve for x
    x = 35,331,509.20/5,166
  6. Step 6: Final answer
    x = 6,839.24

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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.