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Finding the Fourth Proportional to 4,575.42, 6,315.21 and 3,005.64

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Solution

The fourth proportional to 4,575.42, 6,315.21 and 3,005.64 is: 4,148.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,575.42 : 6,315.21 = 3,005.64 : x
  2. Step 2: Convert to fraction form
    4,575.42/6,315.21 = 3,005.64/x
  3. Step 3: Cross multiply
    4,575.42x = 6,315.21 × 3,005.64
  4. Step 4: Simplify right side
    4,575.42x = 18,981,247.78
  5. Step 5: Solve for x
    x = 18,981,247.78/4,575.42
  6. Step 6: Final answer
    x = 4,148.53

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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.