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Finding the Fourth Proportional to 5,827.41, 8,741.07 and 1,667.52

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Solution

The fourth proportional to 5,827.41, 8,741.07 and 1,667.52 is: 2,501.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.41 : 8,741.07 = 1,667.52 : x
  2. Step 2: Convert to fraction form
    5,827.41/8,741.07 = 1,667.52/x
  3. Step 3: Cross multiply
    5,827.41x = 8,741.07 × 1,667.52
  4. Step 4: Simplify right side
    5,827.41x = 14,575,909.05
  5. Step 5: Solve for x
    x = 14,575,909.05/5,827.41
  6. Step 6: Final answer
    x = 2,501.27

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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.