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Finding the Fourth Proportional to 3,666.12, 5,497.02 and 1,357.80

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Solution

The fourth proportional to 3,666.12, 5,497.02 and 1,357.80 is: 2,035.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666.12 : 5,497.02 = 1,357.80 : x
  2. Step 2: Convert to fraction form
    3,666.12/5,497.02 = 1,357.80/x
  3. Step 3: Cross multiply
    3,666.12x = 5,497.02 × 1,357.80
  4. Step 4: Simplify right side
    3,666.12x = 7,463,853.76
  5. Step 5: Solve for x
    x = 7,463,853.76/3,666.12
  6. Step 6: Final answer
    x = 2,035.90

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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.