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Finding the Fourth Proportional to 5,117.40, 7,684.20 and 3,886.20

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Solution

The fourth proportional to 5,117.40, 7,684.20 and 3,886.20 is: 5,835.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,117.40 : 7,684.20 = 3,886.20 : x
  2. Step 2: Convert to fraction form
    5,117.40/7,684.20 = 3,886.20/x
  3. Step 3: Cross multiply
    5,117.40x = 7,684.20 × 3,886.20
  4. Step 4: Simplify right side
    5,117.40x = 29,862,338.04
  5. Step 5: Solve for x
    x = 29,862,338.04/5,117.40
  6. Step 6: Final answer
    x = 5,835.45

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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.