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Finding the Fourth Proportional to 5,810.32, 8,021.16 and 4,237.84

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Solution

The fourth proportional to 5,810.32, 8,021.16 and 4,237.84 is: 5,850.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,810.32 : 8,021.16 = 4,237.84 : x
  2. Step 2: Convert to fraction form
    5,810.32/8,021.16 = 4,237.84/x
  3. Step 3: Cross multiply
    5,810.32x = 8,021.16 × 4,237.84
  4. Step 4: Simplify right side
    5,810.32x = 33,992,392.69
  5. Step 5: Solve for x
    x = 33,992,392.69/5,810.32
  6. Step 6: Final answer
    x = 5,850.35

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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.