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Finding the Fourth Proportional to 5,312.24, 7,329.84 and 3,216.56

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Solution

The fourth proportional to 5,312.24, 7,329.84 and 3,216.56 is: 4,438.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.24 : 7,329.84 = 3,216.56 : x
  2. Step 2: Convert to fraction form
    5,312.24/7,329.84 = 3,216.56/x
  3. Step 3: Cross multiply
    5,312.24x = 7,329.84 × 3,216.56
  4. Step 4: Simplify right side
    5,312.24x = 23,576,870.15
  5. Step 5: Solve for x
    x = 23,576,870.15/5,312.24
  6. Step 6: Final answer
    x = 4,438.22

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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.