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Finding the Fourth Proportional to 4,655.99, 6,424.57 and 2,767.61

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Solution

The fourth proportional to 4,655.99, 6,424.57 and 2,767.61 is: 3,818.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.99 : 6,424.57 = 2,767.61 : x
  2. Step 2: Convert to fraction form
    4,655.99/6,424.57 = 2,767.61/x
  3. Step 3: Cross multiply
    4,655.99x = 6,424.57 × 2,767.61
  4. Step 4: Simplify right side
    4,655.99x = 17,780,704.18
  5. Step 5: Solve for x
    x = 17,780,704.18/4,655.99
  6. Step 6: Final answer
    x = 3,818.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.