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Finding the Fourth Proportional to 5,270.32, 7,273.02 and 3,032.02

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Solution

The fourth proportional to 5,270.32, 7,273.02 and 3,032.02 is: 4,184.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,270.32 : 7,273.02 = 3,032.02 : x
  2. Step 2: Convert to fraction form
    5,270.32/7,273.02 = 3,032.02/x
  3. Step 3: Cross multiply
    5,270.32x = 7,273.02 × 3,032.02
  4. Step 4: Simplify right side
    5,270.32x = 22,051,942.10
  5. Step 5: Solve for x
    x = 22,051,942.10/5,270.32
  6. Step 6: Final answer
    x = 4,184.18

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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.