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Finding the Fourth Proportional to 3,656.52, 5,483 and 1,807.04

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Solution

The fourth proportional to 3,656.52, 5,483 and 1,807.04 is: 2,709.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.52 : 5,483 = 1,807.04 : x
  2. Step 2: Convert to fraction form
    3,656.52/5,483 = 1,807.04/x
  3. Step 3: Cross multiply
    3,656.52x = 5,483 × 1,807.04
  4. Step 4: Simplify right side
    3,656.52x = 9,908,000.32
  5. Step 5: Solve for x
    x = 9,908,000.32/3,656.52
  6. Step 6: Final answer
    x = 2,709.68

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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.