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Finding the Fourth Proportional to 4,471.48, 6,707.58 and 1,873

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Solution

The fourth proportional to 4,471.48, 6,707.58 and 1,873 is: 2,809.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.48 : 6,707.58 = 1,873 : x
  2. Step 2: Convert to fraction form
    4,471.48/6,707.58 = 1,873/x
  3. Step 3: Cross multiply
    4,471.48x = 6,707.58 × 1,873
  4. Step 4: Simplify right side
    4,471.48x = 12,563,297.34
  5. Step 5: Solve for x
    x = 12,563,297.34/4,471.48
  6. Step 6: Final answer
    x = 2,809.65

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