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Finding the Fourth Proportional to 5,406.24, 8,110.16 and 1,707.24

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Solution

The fourth proportional to 5,406.24, 8,110.16 and 1,707.24 is: 2,561.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.24 : 8,110.16 = 1,707.24 : x
  2. Step 2: Convert to fraction form
    5,406.24/8,110.16 = 1,707.24/x
  3. Step 3: Cross multiply
    5,406.24x = 8,110.16 × 1,707.24
  4. Step 4: Simplify right side
    5,406.24x = 13,845,989.56
  5. Step 5: Solve for x
    x = 13,845,989.56/5,406.24
  6. Step 6: Final answer
    x = 2,561.11

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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.