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Finding the Fourth Proportional to 4,605.65, 6,356.53 and 2,616.84

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Solution

The fourth proportional to 4,605.65, 6,356.53 and 2,616.84 is: 3,611.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605.65 : 6,356.53 = 2,616.84 : x
  2. Step 2: Convert to fraction form
    4,605.65/6,356.53 = 2,616.84/x
  3. Step 3: Cross multiply
    4,605.65x = 6,356.53 × 2,616.84
  4. Step 4: Simplify right side
    4,605.65x = 16,634,025.24
  5. Step 5: Solve for x
    x = 16,634,025.24/4,605.65
  6. Step 6: Final answer
    x = 3,611.66

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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.