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Finding the Fourth Proportional to 4,702.75, 6,490.40 and 3,089.05

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Solution

The fourth proportional to 4,702.75, 6,490.40 and 3,089.05 is: 4,263.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.75 : 6,490.40 = 3,089.05 : x
  2. Step 2: Convert to fraction form
    4,702.75/6,490.40 = 3,089.05/x
  3. Step 3: Cross multiply
    4,702.75x = 6,490.40 × 3,089.05
  4. Step 4: Simplify right side
    4,702.75x = 20,049,170.12
  5. Step 5: Solve for x
    x = 20,049,170.12/4,702.75
  6. Step 6: Final answer
    x = 4,263.29

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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.