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Finding the Fourth Proportional to 3,885.65, 5,362.02 and 2,117.15

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Solution

The fourth proportional to 3,885.65, 5,362.02 and 2,117.15 is: 2,921.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.65 : 5,362.02 = 2,117.15 : x
  2. Step 2: Convert to fraction form
    3,885.65/5,362.02 = 2,117.15/x
  3. Step 3: Cross multiply
    3,885.65x = 5,362.02 × 2,117.15
  4. Step 4: Simplify right side
    3,885.65x = 11,352,200.64
  5. Step 5: Solve for x
    x = 11,352,200.64/3,885.65
  6. Step 6: Final answer
    x = 2,921.57

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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.