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Finding the Fourth Proportional to 5,642.46, 7,786.53 and 3,284.55

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Solution

The fourth proportional to 5,642.46, 7,786.53 and 3,284.55 is: 4,532.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.46 : 7,786.53 = 3,284.55 : x
  2. Step 2: Convert to fraction form
    5,642.46/7,786.53 = 3,284.55/x
  3. Step 3: Cross multiply
    5,642.46x = 7,786.53 × 3,284.55
  4. Step 4: Simplify right side
    5,642.46x = 25,575,247.11
  5. Step 5: Solve for x
    x = 25,575,247.11/5,642.46
  6. Step 6: Final answer
    x = 4,532.64

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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.