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Finding the Fourth Proportional to 4,214.52, 6,318.12 and 1,615.64

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Solution

The fourth proportional to 4,214.52, 6,318.12 and 1,615.64 is: 2,422.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,214.52 : 6,318.12 = 1,615.64 : x
  2. Step 2: Convert to fraction form
    4,214.52/6,318.12 = 1,615.64/x
  3. Step 3: Cross multiply
    4,214.52x = 6,318.12 × 1,615.64
  4. Step 4: Simplify right side
    4,214.52x = 10,207,775.81
  5. Step 5: Solve for x
    x = 10,207,775.81/4,214.52
  6. Step 6: Final answer
    x = 2,422.05

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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.