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Finding the Fourth Proportional to 5,660.06, 8,491.31 and 1,710.99

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Solution

The fourth proportional to 5,660.06, 8,491.31 and 1,710.99 is: 2,566.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,660.06 : 8,491.31 = 1,710.99 : x
  2. Step 2: Convert to fraction form
    5,660.06/8,491.31 = 1,710.99/x
  3. Step 3: Cross multiply
    5,660.06x = 8,491.31 × 1,710.99
  4. Step 4: Simplify right side
    5,660.06x = 14,528,546.50
  5. Step 5: Solve for x
    x = 14,528,546.50/5,660.06
  6. Step 6: Final answer
    x = 2,566.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.