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Finding the Fourth Proportional to 4,597.48, 6,345 and 2,709.66

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Solution

The fourth proportional to 4,597.48, 6,345 and 2,709.66 is: 3,739.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.48 : 6,345 = 2,709.66 : x
  2. Step 2: Convert to fraction form
    4,597.48/6,345 = 2,709.66/x
  3. Step 3: Cross multiply
    4,597.48x = 6,345 × 2,709.66
  4. Step 4: Simplify right side
    4,597.48x = 17,192,792.70
  5. Step 5: Solve for x
    x = 17,192,792.70/4,597.48
  6. Step 6: Final answer
    x = 3,739.61

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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.