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Finding the Fourth Proportional to 4,704.66, 7,074.27 and 4,514.58

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Solution

The fourth proportional to 4,704.66, 7,074.27 and 4,514.58 is: 6,788.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.66 : 7,074.27 = 4,514.58 : x
  2. Step 2: Convert to fraction form
    4,704.66/7,074.27 = 4,514.58/x
  3. Step 3: Cross multiply
    4,704.66x = 7,074.27 × 4,514.58
  4. Step 4: Simplify right side
    4,704.66x = 31,937,357.86
  5. Step 5: Solve for x
    x = 31,937,357.86/4,704.66
  6. Step 6: Final answer
    x = 6,788.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.