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Finding the Fourth Proportional to 4,714.63, 6,506.45 and 2,618.80

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Solution

The fourth proportional to 4,714.63, 6,506.45 and 2,618.80 is: 3,614.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.63 : 6,506.45 = 2,618.80 : x
  2. Step 2: Convert to fraction form
    4,714.63/6,506.45 = 2,618.80/x
  3. Step 3: Cross multiply
    4,714.63x = 6,506.45 × 2,618.80
  4. Step 4: Simplify right side
    4,714.63x = 17,039,091.26
  5. Step 5: Solve for x
    x = 17,039,091.26/4,714.63
  6. Step 6: Final answer
    x = 3,614.09

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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.