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Finding the Fourth Proportional to 3,885.60, 5,362.08 and 2,117.16

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Solution

The fourth proportional to 3,885.60, 5,362.08 and 2,117.16 is: 2,921.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.60 : 5,362.08 = 2,117.16 : x
  2. Step 2: Convert to fraction form
    3,885.60/5,362.08 = 2,117.16/x
  3. Step 3: Cross multiply
    3,885.60x = 5,362.08 × 2,117.16
  4. Step 4: Simplify right side
    3,885.60x = 11,352,381.29
  5. Step 5: Solve for x
    x = 11,352,381.29/3,885.60
  6. Step 6: Final answer
    x = 2,921.65

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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.