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Finding the Fourth Proportional to 4,237.56, 5,847.84 and 2,349.36

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Solution

The fourth proportional to 4,237.56, 5,847.84 and 2,349.36 is: 3,242.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,237.56 : 5,847.84 = 2,349.36 : x
  2. Step 2: Convert to fraction form
    4,237.56/5,847.84 = 2,349.36/x
  3. Step 3: Cross multiply
    4,237.56x = 5,847.84 × 2,349.36
  4. Step 4: Simplify right side
    4,237.56x = 13,738,681.38
  5. Step 5: Solve for x
    x = 13,738,681.38/4,237.56
  6. Step 6: Final answer
    x = 3,242.12

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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.