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Finding the Fourth Proportional to 4,650.68, 6,976.66 and 2,459.56

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Solution

The fourth proportional to 4,650.68, 6,976.66 and 2,459.56 is: 3,689.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650.68 : 6,976.66 = 2,459.56 : x
  2. Step 2: Convert to fraction form
    4,650.68/6,976.66 = 2,459.56/x
  3. Step 3: Cross multiply
    4,650.68x = 6,976.66 × 2,459.56
  4. Step 4: Simplify right side
    4,650.68x = 17,159,513.87
  5. Step 5: Solve for x
    x = 17,159,513.87/4,650.68
  6. Step 6: Final answer
    x = 3,689.68

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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.