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Finding the Fourth Proportional to 5,364.60, 8,035 and 4,122.84

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Solution

The fourth proportional to 5,364.60, 8,035 and 4,122.84 is: 6,175.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,364.60 : 8,035 = 4,122.84 : x
  2. Step 2: Convert to fraction form
    5,364.60/8,035 = 4,122.84/x
  3. Step 3: Cross multiply
    5,364.60x = 8,035 × 4,122.84
  4. Step 4: Simplify right side
    5,364.60x = 33,127,019.40
  5. Step 5: Solve for x
    x = 33,127,019.40/5,364.60
  6. Step 6: Final answer
    x = 6,175.11

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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.