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Finding the Fourth Proportional to 4,275.34, 6,415.22 and 3,235.03

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Solution

The fourth proportional to 4,275.34, 6,415.22 and 3,235.03 is: 4,854.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,275.34 : 6,415.22 = 3,235.03 : x
  2. Step 2: Convert to fraction form
    4,275.34/6,415.22 = 3,235.03/x
  3. Step 3: Cross multiply
    4,275.34x = 6,415.22 × 3,235.03
  4. Step 4: Simplify right side
    4,275.34x = 20,753,397.08
  5. Step 5: Solve for x
    x = 20,753,397.08/4,275.34
  6. Step 6: Final answer
    x = 4,854.22

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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.