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Finding the Fourth Proportional to 6,034.42, 9,051.63 and 1,651.93

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Solution

The fourth proportional to 6,034.42, 9,051.63 and 1,651.93 is: 2,477.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,034.42 : 9,051.63 = 1,651.93 : x
  2. Step 2: Convert to fraction form
    6,034.42/9,051.63 = 1,651.93/x
  3. Step 3: Cross multiply
    6,034.42x = 9,051.63 × 1,651.93
  4. Step 4: Simplify right side
    6,034.42x = 14,952,659.15
  5. Step 5: Solve for x
    x = 14,952,659.15/6,034.42
  6. Step 6: Final answer
    x = 2,477.90

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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.