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Finding the Fourth Proportional to 5,510, 7,603.84 and 3,026

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Solution

The fourth proportional to 5,510, 7,603.84 and 3,026 is: 4,175.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,510 : 7,603.84 = 3,026 : x
  2. Step 2: Convert to fraction form
    5,510/7,603.84 = 3,026/x
  3. Step 3: Cross multiply
    5,510x = 7,603.84 × 3,026
  4. Step 4: Simplify right side
    5,510x = 23,009,219.84
  5. Step 5: Solve for x
    x = 23,009,219.84/5,510
  6. Step 6: Final answer
    x = 4,175.90

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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.