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Finding the Fourth Proportional to 4,697.60, 7,044.88 and 2,505.04

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Solution

The fourth proportional to 4,697.60, 7,044.88 and 2,505.04 is: 3,756.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.60 : 7,044.88 = 2,505.04 : x
  2. Step 2: Convert to fraction form
    4,697.60/7,044.88 = 2,505.04/x
  3. Step 3: Cross multiply
    4,697.60x = 7,044.88 × 2,505.04
  4. Step 4: Simplify right side
    4,697.60x = 17,647,706.20
  5. Step 5: Solve for x
    x = 17,647,706.20/4,697.60
  6. Step 6: Final answer
    x = 3,756.75

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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.