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Finding the Fourth Proportional to 3,438.90, 5,154.67 and 1,587.86

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Solution

The fourth proportional to 3,438.90, 5,154.67 and 1,587.86 is: 2,380.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.90 : 5,154.67 = 1,587.86 : x
  2. Step 2: Convert to fraction form
    3,438.90/5,154.67 = 1,587.86/x
  3. Step 3: Cross multiply
    3,438.90x = 5,154.67 × 1,587.86
  4. Step 4: Simplify right side
    3,438.90x = 8,184,894.31
  5. Step 5: Solve for x
    x = 8,184,894.31/3,438.90
  6. Step 6: Final answer
    x = 2,380.09

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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.