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Finding the Fourth Proportional to 5,877.64, 8,111.37 and 3,225.16

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Solution

The fourth proportional to 5,877.64, 8,111.37 and 3,225.16 is: 4,450.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877.64 : 8,111.37 = 3,225.16 : x
  2. Step 2: Convert to fraction form
    5,877.64/8,111.37 = 3,225.16/x
  3. Step 3: Cross multiply
    5,877.64x = 8,111.37 × 3,225.16
  4. Step 4: Simplify right side
    5,877.64x = 26,160,466.07
  5. Step 5: Solve for x
    x = 26,160,466.07/5,877.64
  6. Step 6: Final answer
    x = 4,450.85

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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.