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Finding the Fourth Proportional to 3,912.04, 5,870.22 and 1,603

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Solution

The fourth proportional to 3,912.04, 5,870.22 and 1,603 is: 2,405.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.04 : 5,870.22 = 1,603 : x
  2. Step 2: Convert to fraction form
    3,912.04/5,870.22 = 1,603/x
  3. Step 3: Cross multiply
    3,912.04x = 5,870.22 × 1,603
  4. Step 4: Simplify right side
    3,912.04x = 9,409,962.66
  5. Step 5: Solve for x
    x = 9,409,962.66/3,912.04
  6. Step 6: Final answer
    x = 2,405.39

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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.