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Finding the Fourth Proportional to 5,231.59, 7,858.32 and 4,411.46

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Solution

The fourth proportional to 5,231.59, 7,858.32 and 4,411.46 is: 6,626.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,231.59 : 7,858.32 = 4,411.46 : x
  2. Step 2: Convert to fraction form
    5,231.59/7,858.32 = 4,411.46/x
  3. Step 3: Cross multiply
    5,231.59x = 7,858.32 × 4,411.46
  4. Step 4: Simplify right side
    5,231.59x = 34,666,667.45
  5. Step 5: Solve for x
    x = 34,666,667.45/5,231.59
  6. Step 6: Final answer
    x = 6,626.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.