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Finding the Fourth Proportional to 3,603.96, 5,409.54 and 2,430.24

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Solution

The fourth proportional to 3,603.96, 5,409.54 and 2,430.24 is: 3,647.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.96 : 5,409.54 = 2,430.24 : x
  2. Step 2: Convert to fraction form
    3,603.96/5,409.54 = 2,430.24/x
  3. Step 3: Cross multiply
    3,603.96x = 5,409.54 × 2,430.24
  4. Step 4: Simplify right side
    3,603.96x = 13,146,480.49
  5. Step 5: Solve for x
    x = 13,146,480.49/3,603.96
  6. Step 6: Final answer
    x = 3,647.79

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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.