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Finding the Fourth Proportional to 3,667.74, 5,501.94 and 1,587.80

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Solution

The fourth proportional to 3,667.74, 5,501.94 and 1,587.80 is: 2,381.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.74 : 5,501.94 = 1,587.80 : x
  2. Step 2: Convert to fraction form
    3,667.74/5,501.94 = 1,587.80/x
  3. Step 3: Cross multiply
    3,667.74x = 5,501.94 × 1,587.80
  4. Step 4: Simplify right side
    3,667.74x = 8,735,980.33
  5. Step 5: Solve for x
    x = 8,735,980.33/3,667.74
  6. Step 6: Final answer
    x = 2,381.84

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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.