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Finding the Fourth Proportional to 5,167.50, 7,752.06 and 1,705.56

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Solution

The fourth proportional to 5,167.50, 7,752.06 and 1,705.56 is: 2,558.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.50 : 7,752.06 = 1,705.56 : x
  2. Step 2: Convert to fraction form
    5,167.50/7,752.06 = 1,705.56/x
  3. Step 3: Cross multiply
    5,167.50x = 7,752.06 × 1,705.56
  4. Step 4: Simplify right side
    5,167.50x = 13,221,603.45
  5. Step 5: Solve for x
    x = 13,221,603.45/5,167.50
  6. Step 6: Final answer
    x = 2,558.61

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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.