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Finding the Fourth Proportional to 5,994.29, 8,280.20 and 5,435.39

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Solution

The fourth proportional to 5,994.29, 8,280.20 and 5,435.39 is: 7,508.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,994.29 : 8,280.20 = 5,435.39 : x
  2. Step 2: Convert to fraction form
    5,994.29/8,280.20 = 5,435.39/x
  3. Step 3: Cross multiply
    5,994.29x = 8,280.20 × 5,435.39
  4. Step 4: Simplify right side
    5,994.29x = 45,006,109.80
  5. Step 5: Solve for x
    x = 45,006,109.80/5,994.29
  6. Step 6: Final answer
    x = 7,508.16

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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.