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Finding the Fourth Proportional to 4,702.89, 6,490.54 and 2,814.45

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Solution

The fourth proportional to 4,702.89, 6,490.54 and 2,814.45 is: 3,884.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.89 : 6,490.54 = 2,814.45 : x
  2. Step 2: Convert to fraction form
    4,702.89/6,490.54 = 2,814.45/x
  3. Step 3: Cross multiply
    4,702.89x = 6,490.54 × 2,814.45
  4. Step 4: Simplify right side
    4,702.89x = 18,267,300.30
  5. Step 5: Solve for x
    x = 18,267,300.30/4,702.89
  6. Step 6: Final answer
    x = 3,884.27

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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.