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Finding the Fourth Proportional to 4,589.65, 6,884.74 and 1,302.48

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Solution

The fourth proportional to 4,589.65, 6,884.74 and 1,302.48 is: 1,953.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,589.65 : 6,884.74 = 1,302.48 : x
  2. Step 2: Convert to fraction form
    4,589.65/6,884.74 = 1,302.48/x
  3. Step 3: Cross multiply
    4,589.65x = 6,884.74 × 1,302.48
  4. Step 4: Simplify right side
    4,589.65x = 8,967,236.16
  5. Step 5: Solve for x
    x = 8,967,236.16/4,589.65
  6. Step 6: Final answer
    x = 1,953.80

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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.