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Finding the Fourth Proportional to 4,243.52, 5,849.70 and 2,980.64

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Solution

The fourth proportional to 4,243.52, 5,849.70 and 2,980.64 is: 4,108.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,243.52 : 5,849.70 = 2,980.64 : x
  2. Step 2: Convert to fraction form
    4,243.52/5,849.70 = 2,980.64/x
  3. Step 3: Cross multiply
    4,243.52x = 5,849.70 × 2,980.64
  4. Step 4: Simplify right side
    4,243.52x = 17,435,849.81
  5. Step 5: Solve for x
    x = 17,435,849.81/4,243.52
  6. Step 6: Final answer
    x = 4,108.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.