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Finding the Fourth Proportional to 4,702.62, 6,488.57 and 2,713.05

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Solution

The fourth proportional to 4,702.62, 6,488.57 and 2,713.05 is: 3,743.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.62 : 6,488.57 = 2,713.05 : x
  2. Step 2: Convert to fraction form
    4,702.62/6,488.57 = 2,713.05/x
  3. Step 3: Cross multiply
    4,702.62x = 6,488.57 × 2,713.05
  4. Step 4: Simplify right side
    4,702.62x = 17,603,801.27
  5. Step 5: Solve for x
    x = 17,603,801.27/4,702.62
  6. Step 6: Final answer
    x = 3,743.40

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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.