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Finding the Fourth Proportional to 3,605.86, 5,406.72 and 1,412.02

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Solution

The fourth proportional to 3,605.86, 5,406.72 and 1,412.02 is: 2,117.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.86 : 5,406.72 = 1,412.02 : x
  2. Step 2: Convert to fraction form
    3,605.86/5,406.72 = 1,412.02/x
  3. Step 3: Cross multiply
    3,605.86x = 5,406.72 × 1,412.02
  4. Step 4: Simplify right side
    3,605.86x = 7,634,396.77
  5. Step 5: Solve for x
    x = 7,634,396.77/3,605.86
  6. Step 6: Final answer
    x = 2,117.22

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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.