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Finding the Fourth Proportional to 4,606.56, 6,356.88 and 2,616.84

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Solution

The fourth proportional to 4,606.56, 6,356.88 and 2,616.84 is: 3,611.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.56 : 6,356.88 = 2,616.84 : x
  2. Step 2: Convert to fraction form
    4,606.56/6,356.88 = 2,616.84/x
  3. Step 3: Cross multiply
    4,606.56x = 6,356.88 × 2,616.84
  4. Step 4: Simplify right side
    4,606.56x = 16,634,937.86
  5. Step 5: Solve for x
    x = 16,634,937.86/4,606.56
  6. Step 6: Final answer
    x = 3,611.14

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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.