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Finding the Fourth Proportional to 4,530.40, 6,234.24 and 4,007.68

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Solution

The fourth proportional to 4,530.40, 6,234.24 and 4,007.68 is: 5,514.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,530.40 : 6,234.24 = 4,007.68 : x
  2. Step 2: Convert to fraction form
    4,530.40/6,234.24 = 4,007.68/x
  3. Step 3: Cross multiply
    4,530.40x = 6,234.24 × 4,007.68
  4. Step 4: Simplify right side
    4,530.40x = 24,984,838.96
  5. Step 5: Solve for x
    x = 24,984,838.96/4,530.40
  6. Step 6: Final answer
    x = 5,514.93

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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.