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Finding the Fourth Proportional to 4,342.01, 5,977.47 and 4,143.65

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Solution

The fourth proportional to 4,342.01, 5,977.47 and 4,143.65 is: 5,704.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,342.01 : 5,977.47 = 4,143.65 : x
  2. Step 2: Convert to fraction form
    4,342.01/5,977.47 = 4,143.65/x
  3. Step 3: Cross multiply
    4,342.01x = 5,977.47 × 4,143.65
  4. Step 4: Simplify right side
    4,342.01x = 24,768,513.68
  5. Step 5: Solve for x
    x = 24,768,513.68/4,342.01
  6. Step 6: Final answer
    x = 5,704.40

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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.