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Finding the Fourth Proportional to 4,702.58, 6,490.98 and 2,714.43

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Solution

The fourth proportional to 4,702.58, 6,490.98 and 2,714.43 is: 3,746.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.58 : 6,490.98 = 2,714.43 : x
  2. Step 2: Convert to fraction form
    4,702.58/6,490.98 = 2,714.43/x
  3. Step 3: Cross multiply
    4,702.58x = 6,490.98 × 2,714.43
  4. Step 4: Simplify right side
    4,702.58x = 17,619,310.84
  5. Step 5: Solve for x
    x = 17,619,310.84/4,702.58
  6. Step 6: Final answer
    x = 3,746.74

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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.