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Finding the Fourth Proportional to 5,623.79, 8,435.14 and 1,728.23

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Solution

The fourth proportional to 5,623.79, 8,435.14 and 1,728.23 is: 2,592.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,623.79 : 8,435.14 = 1,728.23 : x
  2. Step 2: Convert to fraction form
    5,623.79/8,435.14 = 1,728.23/x
  3. Step 3: Cross multiply
    5,623.79x = 8,435.14 × 1,728.23
  4. Step 4: Simplify right side
    5,623.79x = 14,577,815.51
  5. Step 5: Solve for x
    x = 14,577,815.51/5,623.79
  6. Step 6: Final answer
    x = 2,592.17

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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.