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Finding the Fourth Proportional to 5,101.67, 7,646.13 and 2,176.56

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Solution

The fourth proportional to 5,101.67, 7,646.13 and 2,176.56 is: 3,262.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.67 : 7,646.13 = 2,176.56 : x
  2. Step 2: Convert to fraction form
    5,101.67/7,646.13 = 2,176.56/x
  3. Step 3: Cross multiply
    5,101.67x = 7,646.13 × 2,176.56
  4. Step 4: Simplify right side
    5,101.67x = 16,642,260.71
  5. Step 5: Solve for x
    x = 16,642,260.71/5,101.67
  6. Step 6: Final answer
    x = 3,262.12

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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.