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Finding the Fourth Proportional to 3,361.95, 5,045.82 and 1,415.52

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Solution

The fourth proportional to 3,361.95, 5,045.82 and 1,415.52 is: 2,124.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,361.95 : 5,045.82 = 1,415.52 : x
  2. Step 2: Convert to fraction form
    3,361.95/5,045.82 = 1,415.52/x
  3. Step 3: Cross multiply
    3,361.95x = 5,045.82 × 1,415.52
  4. Step 4: Simplify right side
    3,361.95x = 7,142,459.13
  5. Step 5: Solve for x
    x = 7,142,459.13/3,361.95
  6. Step 6: Final answer
    x = 2,124.50

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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.