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Finding the Fourth Proportional to 4,478.65, 6,717.94 and 1,101.44

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Solution

The fourth proportional to 4,478.65, 6,717.94 and 1,101.44 is: 1,652.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,478.65 : 6,717.94 = 1,101.44 : x
  2. Step 2: Convert to fraction form
    4,478.65/6,717.94 = 1,101.44/x
  3. Step 3: Cross multiply
    4,478.65x = 6,717.94 × 1,101.44
  4. Step 4: Simplify right side
    4,478.65x = 7,399,421.87
  5. Step 5: Solve for x
    x = 7,399,421.87/4,478.65
  6. Step 6: Final answer
    x = 1,652.16

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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.