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Finding the Fourth Proportional to 5,103.02, 7,653.99 and 1,640

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Solution

The fourth proportional to 5,103.02, 7,653.99 and 1,640 is: 2,459.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.02 : 7,653.99 = 1,640 : x
  2. Step 2: Convert to fraction form
    5,103.02/7,653.99 = 1,640/x
  3. Step 3: Cross multiply
    5,103.02x = 7,653.99 × 1,640
  4. Step 4: Simplify right side
    5,103.02x = 12,552,543.60
  5. Step 5: Solve for x
    x = 12,552,543.60/5,103.02
  6. Step 6: Final answer
    x = 2,459.83

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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.