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Finding the Fourth Proportional to 4,702.69, 6,489.74 and 2,606.81

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Solution

The fourth proportional to 4,702.69, 6,489.74 and 2,606.81 is: 3,597.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.69 : 6,489.74 = 2,606.81 : x
  2. Step 2: Convert to fraction form
    4,702.69/6,489.74 = 2,606.81/x
  3. Step 3: Cross multiply
    4,702.69x = 6,489.74 × 2,606.81
  4. Step 4: Simplify right side
    4,702.69x = 16,917,541.87
  5. Step 5: Solve for x
    x = 16,917,541.87/4,702.69
  6. Step 6: Final answer
    x = 3,597.42

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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.