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Finding the Fourth Proportional to 3,941.82, 5,916.15 and 1,603.13

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Solution

The fourth proportional to 3,941.82, 5,916.15 and 1,603.13 is: 2,406.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,941.82 : 5,916.15 = 1,603.13 : x
  2. Step 2: Convert to fraction form
    3,941.82/5,916.15 = 1,603.13/x
  3. Step 3: Cross multiply
    3,941.82x = 5,916.15 × 1,603.13
  4. Step 4: Simplify right side
    3,941.82x = 9,484,327.97
  5. Step 5: Solve for x
    x = 9,484,327.97/3,941.82
  6. Step 6: Final answer
    x = 2,406.08

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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.