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Finding the Fourth Proportional to 4,702.97, 6,490.18 and 2,578.71

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Solution

The fourth proportional to 4,702.97, 6,490.18 and 2,578.71 is: 3,558.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.97 : 6,490.18 = 2,578.71 : x
  2. Step 2: Convert to fraction form
    4,702.97/6,490.18 = 2,578.71/x
  3. Step 3: Cross multiply
    4,702.97x = 6,490.18 × 2,578.71
  4. Step 4: Simplify right side
    4,702.97x = 16,736,292.07
  5. Step 5: Solve for x
    x = 16,736,292.07/4,702.97
  6. Step 6: Final answer
    x = 3,558.66

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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.