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Finding the Fourth Proportional to 8,590.41, 12,884.81 and 2,745.45

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Solution

The fourth proportional to 8,590.41, 12,884.81 and 2,745.45 is: 4,117.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,590.41 : 12,884.81 = 2,745.45 : x
  2. Step 2: Convert to fraction form
    8,590.41/12,884.81 = 2,745.45/x
  3. Step 3: Cross multiply
    8,590.41x = 12,884.81 × 2,745.45
  4. Step 4: Simplify right side
    8,590.41x = 35,374,646.50
  5. Step 5: Solve for x
    x = 35,374,646.50/8,590.41
  6. Step 6: Final answer
    x = 4,117.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.