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Finding the Fourth Proportional to 5,312.37, 7,329.63 and 3,422.41

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Solution

The fourth proportional to 5,312.37, 7,329.63 and 3,422.41 is: 4,721.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.37 : 7,329.63 = 3,422.41 : x
  2. Step 2: Convert to fraction form
    5,312.37/7,329.63 = 3,422.41/x
  3. Step 3: Cross multiply
    5,312.37x = 7,329.63 × 3,422.41
  4. Step 4: Simplify right side
    5,312.37x = 25,084,993.52
  5. Step 5: Solve for x
    x = 25,084,993.52/5,312.37
  6. Step 6: Final answer
    x = 4,721.99

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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.