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Finding the Fourth Proportional to 4,475.64, 6,712.44 and 1,702.62

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Solution

The fourth proportional to 4,475.64, 6,712.44 and 1,702.62 is: 2,553.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,475.64 : 6,712.44 = 1,702.62 : x
  2. Step 2: Convert to fraction form
    4,475.64/6,712.44 = 1,702.62/x
  3. Step 3: Cross multiply
    4,475.64x = 6,712.44 × 1,702.62
  4. Step 4: Simplify right side
    4,475.64x = 11,428,734.59
  5. Step 5: Solve for x
    x = 11,428,734.59/4,475.64
  6. Step 6: Final answer
    x = 2,553.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.