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Finding the Fourth Proportional to 6,545.60, 9,819.84 and 1,928.48

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Solution

The fourth proportional to 6,545.60, 9,819.84 and 1,928.48 is: 2,893.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545.60 : 9,819.84 = 1,928.48 : x
  2. Step 2: Convert to fraction form
    6,545.60/9,819.84 = 1,928.48/x
  3. Step 3: Cross multiply
    6,545.60x = 9,819.84 × 1,928.48
  4. Step 4: Simplify right side
    6,545.60x = 18,937,365.04
  5. Step 5: Solve for x
    x = 18,937,365.04/6,545.60
  6. Step 6: Final answer
    x = 2,893.14

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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.