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Finding the Fourth Proportional to 4,117.70, 5,682.42 and 2,349.30

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Solution

The fourth proportional to 4,117.70, 5,682.42 and 2,349.30 is: 3,242.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,117.70 : 5,682.42 = 2,349.30 : x
  2. Step 2: Convert to fraction form
    4,117.70/5,682.42 = 2,349.30/x
  3. Step 3: Cross multiply
    4,117.70x = 5,682.42 × 2,349.30
  4. Step 4: Simplify right side
    4,117.70x = 13,349,709.31
  5. Step 5: Solve for x
    x = 13,349,709.31/4,117.70
  6. Step 6: Final answer
    x = 3,242.03

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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.