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Finding the Fourth Proportional to 3,603.98, 5,407.54 and 1,411.95

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Solution

The fourth proportional to 3,603.98, 5,407.54 and 1,411.95 is: 2,118.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.98 : 5,407.54 = 1,411.95 : x
  2. Step 2: Convert to fraction form
    3,603.98/5,407.54 = 1,411.95/x
  3. Step 3: Cross multiply
    3,603.98x = 5,407.54 × 1,411.95
  4. Step 4: Simplify right side
    3,603.98x = 7,635,176.10
  5. Step 5: Solve for x
    x = 7,635,176.10/3,603.98
  6. Step 6: Final answer
    x = 2,118.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.