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Finding the Fourth Proportional to 3,359.64, 5,039.70 and 894.45

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Solution

The fourth proportional to 3,359.64, 5,039.70 and 894.45 is: 1,341.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,359.64 : 5,039.70 = 894.45 : x
  2. Step 2: Convert to fraction form
    3,359.64/5,039.70 = 894.45/x
  3. Step 3: Cross multiply
    3,359.64x = 5,039.70 × 894.45
  4. Step 4: Simplify right side
    3,359.64x = 4,507,759.67
  5. Step 5: Solve for x
    x = 4,507,759.67/3,359.64
  6. Step 6: Final answer
    x = 1,341.74

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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.