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Finding the Fourth Proportional to 5,623.63, 8,434.53 and 1,728.03

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Solution

The fourth proportional to 5,623.63, 8,434.53 and 1,728.03 is: 2,591.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,623.63 : 8,434.53 = 1,728.03 : x
  2. Step 2: Convert to fraction form
    5,623.63/8,434.53 = 1,728.03/x
  3. Step 3: Cross multiply
    5,623.63x = 8,434.53 × 1,728.03
  4. Step 4: Simplify right side
    5,623.63x = 14,575,152.51
  5. Step 5: Solve for x
    x = 14,575,152.51/5,623.63
  6. Step 6: Final answer
    x = 2,591.77

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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.