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Finding the Fourth Proportional to 4,858.64, 6,702.80 and 3,089.30

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Solution

The fourth proportional to 4,858.64, 6,702.80 and 3,089.30 is: 4,261.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,858.64 : 6,702.80 = 3,089.30 : x
  2. Step 2: Convert to fraction form
    4,858.64/6,702.80 = 3,089.30/x
  3. Step 3: Cross multiply
    4,858.64x = 6,702.80 × 3,089.30
  4. Step 4: Simplify right side
    4,858.64x = 20,706,960.04
  5. Step 5: Solve for x
    x = 20,706,960.04/4,858.64
  6. Step 6: Final answer
    x = 4,261.88

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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.