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Finding the Fourth Proportional to 4,597.86, 6,345.09 and 2,734.50

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Solution

The fourth proportional to 4,597.86, 6,345.09 and 2,734.50 is: 3,773.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.86 : 6,345.09 = 2,734.50 : x
  2. Step 2: Convert to fraction form
    4,597.86/6,345.09 = 2,734.50/x
  3. Step 3: Cross multiply
    4,597.86x = 6,345.09 × 2,734.50
  4. Step 4: Simplify right side
    4,597.86x = 17,350,648.61
  5. Step 5: Solve for x
    x = 17,350,648.61/4,597.86
  6. Step 6: Final answer
    x = 3,773.64

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Why These Related Problems?

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