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Finding the Fourth Proportional to 5,671.89, 7,825.98 and 3,312.96

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Solution

The fourth proportional to 5,671.89, 7,825.98 and 3,312.96 is: 4,571.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.89 : 7,825.98 = 3,312.96 : x
  2. Step 2: Convert to fraction form
    5,671.89/7,825.98 = 3,312.96/x
  3. Step 3: Cross multiply
    5,671.89x = 7,825.98 × 3,312.96
  4. Step 4: Simplify right side
    5,671.89x = 25,927,158.70
  5. Step 5: Solve for x
    x = 25,927,158.70/5,671.89
  6. Step 6: Final answer
    x = 4,571.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.