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Finding the Fourth Proportional to 5,152.36, 7,729.08 and 1,689.88

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Solution

The fourth proportional to 5,152.36, 7,729.08 and 1,689.88 is: 2,535.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.36 : 7,729.08 = 1,689.88 : x
  2. Step 2: Convert to fraction form
    5,152.36/7,729.08 = 1,689.88/x
  3. Step 3: Cross multiply
    5,152.36x = 7,729.08 × 1,689.88
  4. Step 4: Simplify right side
    5,152.36x = 13,061,217.71
  5. Step 5: Solve for x
    x = 13,061,217.71/5,152.36
  6. Step 6: Final answer
    x = 2,535.00

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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.