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Finding the Fourth Proportional to 6,229.25, 8,596.55 and 3,434.93

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Solution

The fourth proportional to 6,229.25, 8,596.55 and 3,434.93 is: 4,740.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,229.25 : 8,596.55 = 3,434.93 : x
  2. Step 2: Convert to fraction form
    6,229.25/8,596.55 = 3,434.93/x
  3. Step 3: Cross multiply
    6,229.25x = 8,596.55 × 3,434.93
  4. Step 4: Simplify right side
    6,229.25x = 29,528,547.49
  5. Step 5: Solve for x
    x = 29,528,547.49/6,229.25
  6. Step 6: Final answer
    x = 4,740.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.