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Finding the Fourth Proportional to 3,529.68, 5,289.66 and 3,066.36

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Solution

The fourth proportional to 3,529.68, 5,289.66 and 3,066.36 is: 4,595.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,529.68 : 5,289.66 = 3,066.36 : x
  2. Step 2: Convert to fraction form
    3,529.68/5,289.66 = 3,066.36/x
  3. Step 3: Cross multiply
    3,529.68x = 5,289.66 × 3,066.36
  4. Step 4: Simplify right side
    3,529.68x = 16,220,001.84
  5. Step 5: Solve for x
    x = 16,220,001.84/3,529.68
  6. Step 6: Final answer
    x = 4,595.32

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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.