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Finding the Fourth Proportional to 4,714.54, 6,505.74 and 3,596.20

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Solution

The fourth proportional to 4,714.54, 6,505.74 and 3,596.20 is: 4,962.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.54 : 6,505.74 = 3,596.20 : x
  2. Step 2: Convert to fraction form
    4,714.54/6,505.74 = 3,596.20/x
  3. Step 3: Cross multiply
    4,714.54x = 6,505.74 × 3,596.20
  4. Step 4: Simplify right side
    4,714.54x = 23,395,942.19
  5. Step 5: Solve for x
    x = 23,395,942.19/4,714.54
  6. Step 6: Final answer
    x = 4,962.51

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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.