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Finding the Fourth Proportional to 3,606.89, 5,411.06 and 1,385.63

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Solution

The fourth proportional to 3,606.89, 5,411.06 and 1,385.63 is: 2,078.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.89 : 5,411.06 = 1,385.63 : x
  2. Step 2: Convert to fraction form
    3,606.89/5,411.06 = 1,385.63/x
  3. Step 3: Cross multiply
    3,606.89x = 5,411.06 × 1,385.63
  4. Step 4: Simplify right side
    3,606.89x = 7,497,703.48
  5. Step 5: Solve for x
    x = 7,497,703.48/3,606.89
  6. Step 6: Final answer
    x = 2,078.72

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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.