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Finding the Fourth Proportional to 3,363.51, 5,046.89 and 1,415.46

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Solution

The fourth proportional to 3,363.51, 5,046.89 and 1,415.46 is: 2,123.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,363.51 : 5,046.89 = 1,415.46 : x
  2. Step 2: Convert to fraction form
    3,363.51/5,046.89 = 1,415.46/x
  3. Step 3: Cross multiply
    3,363.51x = 5,046.89 × 1,415.46
  4. Step 4: Simplify right side
    3,363.51x = 7,143,663.84
  5. Step 5: Solve for x
    x = 7,143,663.84/3,363.51
  6. Step 6: Final answer
    x = 2,123.87

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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.