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Finding the Fourth Proportional to 3,545.86, 4,894.36 and 2,054.14

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Solution

The fourth proportional to 3,545.86, 4,894.36 and 2,054.14 is: 2,835.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,545.86 : 4,894.36 = 2,054.14 : x
  2. Step 2: Convert to fraction form
    3,545.86/4,894.36 = 2,054.14/x
  3. Step 3: Cross multiply
    3,545.86x = 4,894.36 × 2,054.14
  4. Step 4: Simplify right side
    3,545.86x = 10,053,700.65
  5. Step 5: Solve for x
    x = 10,053,700.65/3,545.86
  6. Step 6: Final answer
    x = 2,835.33

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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.