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Finding the Fourth Proportional to 4,204.01, 6,305.95 and 1,432.61

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Solution

The fourth proportional to 4,204.01, 6,305.95 and 1,432.61 is: 2,148.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,204.01 : 6,305.95 = 1,432.61 : x
  2. Step 2: Convert to fraction form
    4,204.01/6,305.95 = 1,432.61/x
  3. Step 3: Cross multiply
    4,204.01x = 6,305.95 × 1,432.61
  4. Step 4: Simplify right side
    4,204.01x = 9,033,960.94
  5. Step 5: Solve for x
    x = 9,033,960.94/4,204.01
  6. Step 6: Final answer
    x = 2,148.89

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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.