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Finding the Fourth Proportional to 5,256.59, 7,885.04 and 1,969.07

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Solution

The fourth proportional to 5,256.59, 7,885.04 and 1,969.07 is: 2,953.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256.59 : 7,885.04 = 1,969.07 : x
  2. Step 2: Convert to fraction form
    5,256.59/7,885.04 = 1,969.07/x
  3. Step 3: Cross multiply
    5,256.59x = 7,885.04 × 1,969.07
  4. Step 4: Simplify right side
    5,256.59x = 15,526,146.44
  5. Step 5: Solve for x
    x = 15,526,146.44/5,256.59
  6. Step 6: Final answer
    x = 2,953.66

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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.