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Finding the Fourth Proportional to 4,578.53, 6,312.40 and 4,516.56

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Solution

The fourth proportional to 4,578.53, 6,312.40 and 4,516.56 is: 6,226.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,578.53 : 6,312.40 = 4,516.56 : x
  2. Step 2: Convert to fraction form
    4,578.53/6,312.40 = 4,516.56/x
  3. Step 3: Cross multiply
    4,578.53x = 6,312.40 × 4,516.56
  4. Step 4: Simplify right side
    4,578.53x = 28,510,322.05
  5. Step 5: Solve for x
    x = 28,510,322.05/4,578.53
  6. Step 6: Final answer
    x = 6,226.97

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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.