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Finding the Fourth Proportional to 5,887.56, 8,832.88 and 3,420.26

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Solution

The fourth proportional to 5,887.56, 8,832.88 and 3,420.26 is: 5,131.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,887.56 : 8,832.88 = 3,420.26 : x
  2. Step 2: Convert to fraction form
    5,887.56/8,832.88 = 3,420.26/x
  3. Step 3: Cross multiply
    5,887.56x = 8,832.88 × 3,420.26
  4. Step 4: Simplify right side
    5,887.56x = 30,210,746.15
  5. Step 5: Solve for x
    x = 30,210,746.15/5,887.56
  6. Step 6: Final answer
    x = 5,131.28

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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.