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Finding the Fourth Proportional to 4,207.68, 6,310.71 and 1,435.86

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Solution

The fourth proportional to 4,207.68, 6,310.71 and 1,435.86 is: 2,153.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,207.68 : 6,310.71 = 1,435.86 : x
  2. Step 2: Convert to fraction form
    4,207.68/6,310.71 = 1,435.86/x
  3. Step 3: Cross multiply
    4,207.68x = 6,310.71 × 1,435.86
  4. Step 4: Simplify right side
    4,207.68x = 9,061,296.06
  5. Step 5: Solve for x
    x = 9,061,296.06/4,207.68
  6. Step 6: Final answer
    x = 2,153.51

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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.