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Finding the Fourth Proportional to 5,659.46, 8,490.00 and 1,764.17

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Solution

The fourth proportional to 5,659.46, 8,490.00 and 1,764.17 is: 2,646.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659.46 : 8,490.00 = 1,764.17 : x
  2. Step 2: Convert to fraction form
    5,659.46/8,490.00 = 1,764.17/x
  3. Step 3: Cross multiply
    5,659.46x = 8,490.00 × 1,764.17
  4. Step 4: Simplify right side
    5,659.46x = 14,977,828.94
  5. Step 5: Solve for x
    x = 14,977,828.94/5,659.46
  6. Step 6: Final answer
    x = 2,646.51

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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.