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Finding the Fourth Proportional to 3,610.04, 5,418.16 and 1,420.32

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Solution

The fourth proportional to 3,610.04, 5,418.16 and 1,420.32 is: 2,131.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,610.04 : 5,418.16 = 1,420.32 : x
  2. Step 2: Convert to fraction form
    3,610.04/5,418.16 = 1,420.32/x
  3. Step 3: Cross multiply
    3,610.04x = 5,418.16 × 1,420.32
  4. Step 4: Simplify right side
    3,610.04x = 7,695,521.01
  5. Step 5: Solve for x
    x = 7,695,521.01/3,610.04
  6. Step 6: Final answer
    x = 2,131.70

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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.