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Finding the Fourth Proportional to 4,674.69, 6,451.92 and 2,686.59

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Solution

The fourth proportional to 4,674.69, 6,451.92 and 2,686.59 is: 3,707.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.69 : 6,451.92 = 2,686.59 : x
  2. Step 2: Convert to fraction form
    4,674.69/6,451.92 = 2,686.59/x
  3. Step 3: Cross multiply
    4,674.69x = 6,451.92 × 2,686.59
  4. Step 4: Simplify right side
    4,674.69x = 17,333,663.75
  5. Step 5: Solve for x
    x = 17,333,663.75/4,674.69
  6. Step 6: Final answer
    x = 3,707.98

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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.