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Finding the Fourth Proportional to 4,702.29, 6,486.59 and 2,997.63

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Solution

The fourth proportional to 4,702.29, 6,486.59 and 2,997.63 is: 4,135.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.29 : 6,486.59 = 2,997.63 : x
  2. Step 2: Convert to fraction form
    4,702.29/6,486.59 = 2,997.63/x
  3. Step 3: Cross multiply
    4,702.29x = 6,486.59 × 2,997.63
  4. Step 4: Simplify right side
    4,702.29x = 19,444,396.78
  5. Step 5: Solve for x
    x = 19,444,396.78/4,702.29
  6. Step 6: Final answer
    x = 4,135.09

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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.