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Finding the Fourth Proportional to 3,545.60, 4,893 and 2,054

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Solution

The fourth proportional to 3,545.60, 4,893 and 2,054 is: 2,834.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,545.60 : 4,893 = 2,054 : x
  2. Step 2: Convert to fraction form
    3,545.60/4,893 = 2,054/x
  3. Step 3: Cross multiply
    3,545.60x = 4,893 × 2,054
  4. Step 4: Simplify right side
    3,545.60x = 10,050,222
  5. Step 5: Solve for x
    x = 10,050,222/3,545.60
  6. Step 6: Final answer
    x = 2,834.56

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Why These Related Problems?

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