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Finding the Fourth Proportional to 5,895, 8,135.10 and 3,411

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Solution

The fourth proportional to 5,895, 8,135.10 and 3,411 is: 4,707.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,895 : 8,135.10 = 3,411 : x
  2. Step 2: Convert to fraction form
    5,895/8,135.10 = 3,411/x
  3. Step 3: Cross multiply
    5,895x = 8,135.10 × 3,411
  4. Step 4: Simplify right side
    5,895x = 27,748,826.10
  5. Step 5: Solve for x
    x = 27,748,826.10/5,895
  6. Step 6: Final answer
    x = 4,707.18

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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.