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Finding the Fourth Proportional to 4,708.65, 6,500.33 and 3,644.01

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Solution

The fourth proportional to 4,708.65, 6,500.33 and 3,644.01 is: 5,030.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,708.65 : 6,500.33 = 3,644.01 : x
  2. Step 2: Convert to fraction form
    4,708.65/6,500.33 = 3,644.01/x
  3. Step 3: Cross multiply
    4,708.65x = 6,500.33 × 3,644.01
  4. Step 4: Simplify right side
    4,708.65x = 23,687,249.30
  5. Step 5: Solve for x
    x = 23,687,249.30/4,708.65
  6. Step 6: Final answer
    x = 5,030.58

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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.