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Finding the Fourth Proportional to 4,477.51, 6,714.64 and 1,704.91

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Solution

The fourth proportional to 4,477.51, 6,714.64 and 1,704.91 is: 2,556.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,477.51 : 6,714.64 = 1,704.91 : x
  2. Step 2: Convert to fraction form
    4,477.51/6,714.64 = 1,704.91/x
  3. Step 3: Cross multiply
    4,477.51x = 6,714.64 × 1,704.91
  4. Step 4: Simplify right side
    4,477.51x = 11,447,856.88
  5. Step 5: Solve for x
    x = 11,447,856.88/4,477.51
  6. Step 6: Final answer
    x = 2,556.75

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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.