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Finding the Fourth Proportional to 5,824.31, 8,017.89 and 5,263.08

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Solution

The fourth proportional to 5,824.31, 8,017.89 and 5,263.08 is: 7,245.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824.31 : 8,017.89 = 5,263.08 : x
  2. Step 2: Convert to fraction form
    5,824.31/8,017.89 = 5,263.08/x
  3. Step 3: Cross multiply
    5,824.31x = 8,017.89 × 5,263.08
  4. Step 4: Simplify right side
    5,824.31x = 42,198,746.70
  5. Step 5: Solve for x
    x = 42,198,746.70/5,824.31
  6. Step 6: Final answer
    x = 7,245.28

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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.