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Finding the Fourth Proportional to 5,824.64, 8,038.07 and 3,172.07

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Solution

The fourth proportional to 5,824.64, 8,038.07 and 3,172.07 is: 4,377.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824.64 : 8,038.07 = 3,172.07 : x
  2. Step 2: Convert to fraction form
    5,824.64/8,038.07 = 3,172.07/x
  3. Step 3: Cross multiply
    5,824.64x = 8,038.07 × 3,172.07
  4. Step 4: Simplify right side
    5,824.64x = 25,497,264.65
  5. Step 5: Solve for x
    x = 25,497,264.65/5,824.64
  6. Step 6: Final answer
    x = 4,377.49

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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.