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Finding the Fourth Proportional to 5,627.40, 8,441.10 and 5,117.10

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Solution

The fourth proportional to 5,627.40, 8,441.10 and 5,117.10 is: 7,675.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,627.40 : 8,441.10 = 5,117.10 : x
  2. Step 2: Convert to fraction form
    5,627.40/8,441.10 = 5,117.10/x
  3. Step 3: Cross multiply
    5,627.40x = 8,441.10 × 5,117.10
  4. Step 4: Simplify right side
    5,627.40x = 43,193,952.81
  5. Step 5: Solve for x
    x = 43,193,952.81/5,627.40
  6. Step 6: Final answer
    x = 7,675.65

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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.