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Finding the Fourth Proportional to 5,317.65, 7,340.00 and 3,638.42

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Solution

The fourth proportional to 5,317.65, 7,340.00 and 3,638.42 is: 5,022.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,317.65 : 7,340.00 = 3,638.42 : x
  2. Step 2: Convert to fraction form
    5,317.65/7,340.00 = 3,638.42/x
  3. Step 3: Cross multiply
    5,317.65x = 7,340.00 × 3,638.42
  4. Step 4: Simplify right side
    5,317.65x = 26,705,947.91
  5. Step 5: Solve for x
    x = 26,705,947.91/5,317.65
  6. Step 6: Final answer
    x = 5,022.13

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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.