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Finding the Fourth Proportional to 3,602.77, 5,404.16 and 2,782.24

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Solution

The fourth proportional to 3,602.77, 5,404.16 and 2,782.24 is: 4,173.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.77 : 5,404.16 = 2,782.24 : x
  2. Step 2: Convert to fraction form
    3,602.77/5,404.16 = 2,782.24/x
  3. Step 3: Cross multiply
    3,602.77x = 5,404.16 × 2,782.24
  4. Step 4: Simplify right side
    3,602.77x = 15,035,670.12
  5. Step 5: Solve for x
    x = 15,035,670.12/3,602.77
  6. Step 6: Final answer
    x = 4,173.36

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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.