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Finding the Fourth Proportional to 6,146.52, 8,482.20 and 3,628.68

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Solution

The fourth proportional to 6,146.52, 8,482.20 and 3,628.68 is: 5,007.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146.52 : 8,482.20 = 3,628.68 : x
  2. Step 2: Convert to fraction form
    6,146.52/8,482.20 = 3,628.68/x
  3. Step 3: Cross multiply
    6,146.52x = 8,482.20 × 3,628.68
  4. Step 4: Simplify right side
    6,146.52x = 30,779,189.50
  5. Step 5: Solve for x
    x = 30,779,189.50/6,146.52
  6. Step 6: Final answer
    x = 5,007.58

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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.