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Finding the Fourth Proportional to 4,301.80, 5,938.02 and 3,065.32

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Solution

The fourth proportional to 4,301.80, 5,938.02 and 3,065.32 is: 4,231.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,301.80 : 5,938.02 = 3,065.32 : x
  2. Step 2: Convert to fraction form
    4,301.80/5,938.02 = 3,065.32/x
  3. Step 3: Cross multiply
    4,301.80x = 5,938.02 × 3,065.32
  4. Step 4: Simplify right side
    4,301.80x = 18,201,931.47
  5. Step 5: Solve for x
    x = 18,201,931.47/4,301.80
  6. Step 6: Final answer
    x = 4,231.24

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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.