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Finding the Fourth Proportional to 5,886, 8,822.52 and 3,801.06

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Solution

The fourth proportional to 5,886, 8,822.52 and 3,801.06 is: 5,697.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886 : 8,822.52 = 3,801.06 : x
  2. Step 2: Convert to fraction form
    5,886/8,822.52 = 3,801.06/x
  3. Step 3: Cross multiply
    5,886x = 8,822.52 × 3,801.06
  4. Step 4: Simplify right side
    5,886x = 33,534,927.87
  5. Step 5: Solve for x
    x = 33,534,927.87/5,886
  6. Step 6: Final answer
    x = 5,697.41

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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.