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Finding the Fourth Proportional to 6,545.52, 9,820.16 and 1,928.52

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Solution

The fourth proportional to 6,545.52, 9,820.16 and 1,928.52 is: 2,893.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545.52 : 9,820.16 = 1,928.52 : x
  2. Step 2: Convert to fraction form
    6,545.52/9,820.16 = 1,928.52/x
  3. Step 3: Cross multiply
    6,545.52x = 9,820.16 × 1,928.52
  4. Step 4: Simplify right side
    6,545.52x = 18,938,374.96
  5. Step 5: Solve for x
    x = 18,938,374.96/6,545.52
  6. Step 6: Final answer
    x = 2,893.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.