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Finding the Fourth Proportional to 3,415.42, 4,713.57 and 1,923.63

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Solution

The fourth proportional to 3,415.42, 4,713.57 and 1,923.63 is: 2,654.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.42 : 4,713.57 = 1,923.63 : x
  2. Step 2: Convert to fraction form
    3,415.42/4,713.57 = 1,923.63/x
  3. Step 3: Cross multiply
    3,415.42x = 4,713.57 × 1,923.63
  4. Step 4: Simplify right side
    3,415.42x = 9,067,173.50
  5. Step 5: Solve for x
    x = 9,067,173.50/3,415.42
  6. Step 6: Final answer
    x = 2,654.77

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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.