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Finding the Fourth Proportional to 3,545.76, 4,893.36 and 2,053.20

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Solution

The fourth proportional to 3,545.76, 4,893.36 and 2,053.20 is: 2,833.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,545.76 : 4,893.36 = 2,053.20 : x
  2. Step 2: Convert to fraction form
    3,545.76/4,893.36 = 2,053.20/x
  3. Step 3: Cross multiply
    3,545.76x = 4,893.36 × 2,053.20
  4. Step 4: Simplify right side
    3,545.76x = 10,047,046.75
  5. Step 5: Solve for x
    x = 10,047,046.75/3,545.76
  6. Step 6: Final answer
    x = 2,833.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.