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Finding the Fourth Proportional to 4,597.61, 6,345.17 and 2,709.78

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Solution

The fourth proportional to 4,597.61, 6,345.17 and 2,709.78 is: 3,739.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.61 : 6,345.17 = 2,709.78 : x
  2. Step 2: Convert to fraction form
    4,597.61/6,345.17 = 2,709.78/x
  3. Step 3: Cross multiply
    4,597.61x = 6,345.17 × 2,709.78
  4. Step 4: Simplify right side
    4,597.61x = 17,194,021.54
  5. Step 5: Solve for x
    x = 17,194,021.54/4,597.61
  6. Step 6: Final answer
    x = 3,739.77

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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.