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Finding the Fourth Proportional to 3,912, 5,870.64 and 1,603.44

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Solution

The fourth proportional to 3,912, 5,870.64 and 1,603.44 is: 2,406.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912 : 5,870.64 = 1,603.44 : x
  2. Step 2: Convert to fraction form
    3,912/5,870.64 = 1,603.44/x
  3. Step 3: Cross multiply
    3,912x = 5,870.64 × 1,603.44
  4. Step 4: Simplify right side
    3,912x = 9,413,219.00
  5. Step 5: Solve for x
    x = 9,413,219.00/3,912
  6. Step 6: Final answer
    x = 2,406.24

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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.