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Finding the Fourth Proportional to 4,302.96, 6,465.52 and 4,182.54

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Solution

The fourth proportional to 4,302.96, 6,465.52 and 4,182.54 is: 6,284.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,302.96 : 6,465.52 = 4,182.54 : x
  2. Step 2: Convert to fraction form
    4,302.96/6,465.52 = 4,182.54/x
  3. Step 3: Cross multiply
    4,302.96x = 6,465.52 × 4,182.54
  4. Step 4: Simplify right side
    4,302.96x = 27,042,296.02
  5. Step 5: Solve for x
    x = 27,042,296.02/4,302.96
  6. Step 6: Final answer
    x = 6,284.58

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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.