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Finding the Fourth Proportional to 4,714.40, 7,079.70 and 4,568.60

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Solution

The fourth proportional to 4,714.40, 7,079.70 and 4,568.60 is: 6,860.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.40 : 7,079.70 = 4,568.60 : x
  2. Step 2: Convert to fraction form
    4,714.40/7,079.70 = 4,568.60/x
  3. Step 3: Cross multiply
    4,714.40x = 7,079.70 × 4,568.60
  4. Step 4: Simplify right side
    4,714.40x = 32,344,317.42
  5. Step 5: Solve for x
    x = 32,344,317.42/4,714.40
  6. Step 6: Final answer
    x = 6,860.75

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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.