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Finding the Fourth Proportional to 4,702.31, 6,486.89 and 3,956.00

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Solution

The fourth proportional to 4,702.31, 6,486.89 and 3,956.00 is: 5,457.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.31 : 6,486.89 = 3,956.00 : x
  2. Step 2: Convert to fraction form
    4,702.31/6,486.89 = 3,956.00/x
  3. Step 3: Cross multiply
    4,702.31x = 6,486.89 × 3,956.00
  4. Step 4: Simplify right side
    4,702.31x = 25,662,084.63
  5. Step 5: Solve for x
    x = 25,662,084.63/4,702.31
  6. Step 6: Final answer
    x = 5,457.34

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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.