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Finding the Fourth Proportional to 3,885.64, 5,362.14 and 2,117.30

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Solution

The fourth proportional to 3,885.64, 5,362.14 and 2,117.30 is: 2,921.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.64 : 5,362.14 = 2,117.30 : x
  2. Step 2: Convert to fraction form
    3,885.64/5,362.14 = 2,117.30/x
  3. Step 3: Cross multiply
    3,885.64x = 5,362.14 × 2,117.30
  4. Step 4: Simplify right side
    3,885.64x = 11,353,259.02
  5. Step 5: Solve for x
    x = 11,353,259.02/3,885.64
  6. Step 6: Final answer
    x = 2,921.85

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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.