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Finding the Fourth Proportional to 5,878, 8,093.65 and 5,407.80

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Solution

The fourth proportional to 5,878, 8,093.65 and 5,407.80 is: 7,446.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878 : 8,093.65 = 5,407.80 : x
  2. Step 2: Convert to fraction form
    5,878/8,093.65 = 5,407.80/x
  3. Step 3: Cross multiply
    5,878x = 8,093.65 × 5,407.80
  4. Step 4: Simplify right side
    5,878x = 43,768,840.47
  5. Step 5: Solve for x
    x = 43,768,840.47/5,878
  6. Step 6: Final answer
    x = 7,446.21

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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.