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Finding the Fourth Proportional to 3,914.64, 5,401.08 and 2,587.86

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Solution

The fourth proportional to 3,914.64, 5,401.08 and 2,587.86 is: 3,570.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.64 : 5,401.08 = 2,587.86 : x
  2. Step 2: Convert to fraction form
    3,914.64/5,401.08 = 2,587.86/x
  3. Step 3: Cross multiply
    3,914.64x = 5,401.08 × 2,587.86
  4. Step 4: Simplify right side
    3,914.64x = 13,977,238.89
  5. Step 5: Solve for x
    x = 13,977,238.89/3,914.64
  6. Step 6: Final answer
    x = 3,570.50

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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.