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Finding the Fourth Proportional to 4,756.62, 7,132.86 and 3,661.75

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Solution

The fourth proportional to 4,756.62, 7,132.86 and 3,661.75 is: 5,491.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756.62 : 7,132.86 = 3,661.75 : x
  2. Step 2: Convert to fraction form
    4,756.62/7,132.86 = 3,661.75/x
  3. Step 3: Cross multiply
    4,756.62x = 7,132.86 × 3,661.75
  4. Step 4: Simplify right side
    4,756.62x = 26,118,750.11
  5. Step 5: Solve for x
    x = 26,118,750.11/4,756.62
  6. Step 6: Final answer
    x = 5,491.03

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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.