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Finding the Fourth Proportional to 5,767.53, 8,651.49 and 1,607.64

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Solution

The fourth proportional to 5,767.53, 8,651.49 and 1,607.64 is: 2,411.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767.53 : 8,651.49 = 1,607.64 : x
  2. Step 2: Convert to fraction form
    5,767.53/8,651.49 = 1,607.64/x
  3. Step 3: Cross multiply
    5,767.53x = 8,651.49 × 1,607.64
  4. Step 4: Simplify right side
    5,767.53x = 13,908,481.38
  5. Step 5: Solve for x
    x = 13,908,481.38/5,767.53
  6. Step 6: Final answer
    x = 2,411.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.