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Finding the Fourth Proportional to 3,607.50, 5,383.34 and 3,218.70

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Solution

The fourth proportional to 3,607.50, 5,383.34 and 3,218.70 is: 4,803.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.50 : 5,383.34 = 3,218.70 : x
  2. Step 2: Convert to fraction form
    3,607.50/5,383.34 = 3,218.70/x
  3. Step 3: Cross multiply
    3,607.50x = 5,383.34 × 3,218.70
  4. Step 4: Simplify right side
    3,607.50x = 17,327,340.36
  5. Step 5: Solve for x
    x = 17,327,340.36/3,607.50
  6. Step 6: Final answer
    x = 4,803.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.