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Finding the Fourth Proportional to 4,301.75, 5,937.02 and 2,509.82

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Solution

The fourth proportional to 4,301.75, 5,937.02 and 2,509.82 is: 3,463.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,301.75 : 5,937.02 = 2,509.82 : x
  2. Step 2: Convert to fraction form
    4,301.75/5,937.02 = 2,509.82/x
  3. Step 3: Cross multiply
    4,301.75x = 5,937.02 × 2,509.82
  4. Step 4: Simplify right side
    4,301.75x = 14,900,809.30
  5. Step 5: Solve for x
    x = 14,900,809.30/4,301.75
  6. Step 6: Final answer
    x = 3,463.90

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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.