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Finding the Fourth Proportional to 5,659.79, 8,490.54 and 1,764.50

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Solution

The fourth proportional to 5,659.79, 8,490.54 and 1,764.50 is: 2,647.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659.79 : 8,490.54 = 1,764.50 : x
  2. Step 2: Convert to fraction form
    5,659.79/8,490.54 = 1,764.50/x
  3. Step 3: Cross multiply
    5,659.79x = 8,490.54 × 1,764.50
  4. Step 4: Simplify right side
    5,659.79x = 14,981,557.83
  5. Step 5: Solve for x
    x = 14,981,557.83/5,659.79
  6. Step 6: Final answer
    x = 2,647.02

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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.