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Finding the Fourth Proportional to 5,965.76, 8,225.28 and 3,837.53

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Solution

The fourth proportional to 5,965.76, 8,225.28 and 3,837.53 is: 5,290.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.76 : 8,225.28 = 3,837.53 : x
  2. Step 2: Convert to fraction form
    5,965.76/8,225.28 = 3,837.53/x
  3. Step 3: Cross multiply
    5,965.76x = 8,225.28 × 3,837.53
  4. Step 4: Simplify right side
    5,965.76x = 31,564,779.32
  5. Step 5: Solve for x
    x = 31,564,779.32/5,965.76
  6. Step 6: Final answer
    x = 5,290.99

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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.