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Finding the Fourth Proportional to 3,705.60, 5,113.44 and 2,133.39

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Solution

The fourth proportional to 3,705.60, 5,113.44 and 2,133.39 is: 2,943.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.60 : 5,113.44 = 2,133.39 : x
  2. Step 2: Convert to fraction form
    3,705.60/5,113.44 = 2,133.39/x
  3. Step 3: Cross multiply
    3,705.60x = 5,113.44 × 2,133.39
  4. Step 4: Simplify right side
    3,705.60x = 10,908,961.76
  5. Step 5: Solve for x
    x = 10,908,961.76/3,705.60
  6. Step 6: Final answer
    x = 2,943.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.