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Finding the Fourth Proportional to 4,476.60, 6,714.90 and 1,702.35

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Solution

The fourth proportional to 4,476.60, 6,714.90 and 1,702.35 is: 2,553.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,476.60 : 6,714.90 = 1,702.35 : x
  2. Step 2: Convert to fraction form
    4,476.60/6,714.90 = 1,702.35/x
  3. Step 3: Cross multiply
    4,476.60x = 6,714.90 × 1,702.35
  4. Step 4: Simplify right side
    4,476.60x = 11,431,110.02
  5. Step 5: Solve for x
    x = 11,431,110.02/4,476.60
  6. Step 6: Final answer
    x = 2,553.53

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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.