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Finding the Fourth Proportional to 5,256.24, 7,883.59 and 1,697.88

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Solution

The fourth proportional to 5,256.24, 7,883.59 and 1,697.88 is: 2,546.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256.24 : 7,883.59 = 1,697.88 : x
  2. Step 2: Convert to fraction form
    5,256.24/7,883.59 = 1,697.88/x
  3. Step 3: Cross multiply
    5,256.24x = 7,883.59 × 1,697.88
  4. Step 4: Simplify right side
    5,256.24x = 13,385,389.79
  5. Step 5: Solve for x
    x = 13,385,389.79/5,256.24
  6. Step 6: Final answer
    x = 2,546.57

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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.