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Finding the Fourth Proportional to 5,509, 7,602.44 and 3,025

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Solution

The fourth proportional to 5,509, 7,602.44 and 3,025 is: 4,174.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509 : 7,602.44 = 3,025 : x
  2. Step 2: Convert to fraction form
    5,509/7,602.44 = 3,025/x
  3. Step 3: Cross multiply
    5,509x = 7,602.44 × 3,025
  4. Step 4: Simplify right side
    5,509x = 22,997,381
  5. Step 5: Solve for x
    x = 22,997,381/5,509
  6. Step 6: Final answer
    x = 4,174.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.