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Finding the Fourth Proportional to 4,709.50, 6,500.85 and 4,043.68

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Solution

The fourth proportional to 4,709.50, 6,500.85 and 4,043.68 is: 5,581.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.50 : 6,500.85 = 4,043.68 : x
  2. Step 2: Convert to fraction form
    4,709.50/6,500.85 = 4,043.68/x
  3. Step 3: Cross multiply
    4,709.50x = 6,500.85 × 4,043.68
  4. Step 4: Simplify right side
    4,709.50x = 26,287,357.13
  5. Step 5: Solve for x
    x = 26,287,357.13/4,709.50
  6. Step 6: Final answer
    x = 5,581.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.