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Finding the Fourth Proportional to 5,217.40, 7,820.64 and 1,928.40

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Solution

The fourth proportional to 5,217.40, 7,820.64 and 1,928.40 is: 2,890.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,217.40 : 7,820.64 = 1,928.40 : x
  2. Step 2: Convert to fraction form
    5,217.40/7,820.64 = 1,928.40/x
  3. Step 3: Cross multiply
    5,217.40x = 7,820.64 × 1,928.40
  4. Step 4: Simplify right side
    5,217.40x = 15,081,322.18
  5. Step 5: Solve for x
    x = 15,081,322.18/5,217.40
  6. Step 6: Final answer
    x = 2,890.58

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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.