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Finding the Fourth Proportional to 4,705.52, 7,059.10 and 1,933.70

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Solution

The fourth proportional to 4,705.52, 7,059.10 and 1,933.70 is: 2,900.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.52 : 7,059.10 = 1,933.70 : x
  2. Step 2: Convert to fraction form
    4,705.52/7,059.10 = 1,933.70/x
  3. Step 3: Cross multiply
    4,705.52x = 7,059.10 × 1,933.70
  4. Step 4: Simplify right side
    4,705.52x = 13,650,181.67
  5. Step 5: Solve for x
    x = 13,650,181.67/4,705.52
  6. Step 6: Final answer
    x = 2,900.89

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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.