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Finding the Fourth Proportional to 4,641.25, 6,404.94 and 2,545.39

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Solution

The fourth proportional to 4,641.25, 6,404.94 and 2,545.39 is: 3,512.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.25 : 6,404.94 = 2,545.39 : x
  2. Step 2: Convert to fraction form
    4,641.25/6,404.94 = 2,545.39/x
  3. Step 3: Cross multiply
    4,641.25x = 6,404.94 × 2,545.39
  4. Step 4: Simplify right side
    4,641.25x = 16,303,070.23
  5. Step 5: Solve for x
    x = 16,303,070.23/4,641.25
  6. Step 6: Final answer
    x = 3,512.65

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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.