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Finding the Fourth Proportional to 5,373.16, 8,042.46 and 4,033

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Solution

The fourth proportional to 5,373.16, 8,042.46 and 4,033 is: 6,036.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,373.16 : 8,042.46 = 4,033 : x
  2. Step 2: Convert to fraction form
    5,373.16/8,042.46 = 4,033/x
  3. Step 3: Cross multiply
    5,373.16x = 8,042.46 × 4,033
  4. Step 4: Simplify right side
    5,373.16x = 32,435,241.18
  5. Step 5: Solve for x
    x = 32,435,241.18/5,373.16
  6. Step 6: Final answer
    x = 6,036.53

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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.