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Finding the Fourth Proportional to 5,728.60, 8,590.34 and 1,623.64

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Solution

The fourth proportional to 5,728.60, 8,590.34 and 1,623.64 is: 2,434.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.60 : 8,590.34 = 1,623.64 : x
  2. Step 2: Convert to fraction form
    5,728.60/8,590.34 = 1,623.64/x
  3. Step 3: Cross multiply
    5,728.60x = 8,590.34 × 1,623.64
  4. Step 4: Simplify right side
    5,728.60x = 13,947,619.64
  5. Step 5: Solve for x
    x = 13,947,619.64/5,728.60
  6. Step 6: Final answer
    x = 2,434.73

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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.