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Finding the Fourth Proportional to 4,680.53, 6,467.69 and 4,452.74

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Solution

The fourth proportional to 4,680.53, 6,467.69 and 4,452.74 is: 6,152.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,680.53 : 6,467.69 = 4,452.74 : x
  2. Step 2: Convert to fraction form
    4,680.53/6,467.69 = 4,452.74/x
  3. Step 3: Cross multiply
    4,680.53x = 6,467.69 × 4,452.74
  4. Step 4: Simplify right side
    4,680.53x = 28,798,919.71
  5. Step 5: Solve for x
    x = 28,798,919.71/4,680.53
  6. Step 6: Final answer
    x = 6,152.92

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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.