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Finding the Fourth Proportional to 3,704.42, 5,560.58 and 2,064.16

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Solution

The fourth proportional to 3,704.42, 5,560.58 and 2,064.16 is: 3,098.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.42 : 5,560.58 = 2,064.16 : x
  2. Step 2: Convert to fraction form
    3,704.42/5,560.58 = 2,064.16/x
  3. Step 3: Cross multiply
    3,704.42x = 5,560.58 × 2,064.16
  4. Step 4: Simplify right side
    3,704.42x = 11,477,926.81
  5. Step 5: Solve for x
    x = 11,477,926.81/3,704.42
  6. Step 6: Final answer
    x = 3,098.44

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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.