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Finding the Fourth Proportional to 3,545.89, 4,894.16 and 2,054.63

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Solution

The fourth proportional to 3,545.89, 4,894.16 and 2,054.63 is: 2,835.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,545.89 : 4,894.16 = 2,054.63 : x
  2. Step 2: Convert to fraction form
    3,545.89/4,894.16 = 2,054.63/x
  3. Step 3: Cross multiply
    3,545.89x = 4,894.16 × 2,054.63
  4. Step 4: Simplify right side
    3,545.89x = 10,055,689.92
  5. Step 5: Solve for x
    x = 10,055,689.92/3,545.89
  6. Step 6: Final answer
    x = 2,835.87

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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.