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Finding the Fourth Proportional to 4,590.53, 6,884.03 and 1,469.87

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Solution

The fourth proportional to 4,590.53, 6,884.03 and 1,469.87 is: 2,204.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,590.53 : 6,884.03 = 1,469.87 : x
  2. Step 2: Convert to fraction form
    4,590.53/6,884.03 = 1,469.87/x
  3. Step 3: Cross multiply
    4,590.53x = 6,884.03 × 1,469.87
  4. Step 4: Simplify right side
    4,590.53x = 10,118,598.43
  5. Step 5: Solve for x
    x = 10,118,598.43/4,590.53
  6. Step 6: Final answer
    x = 2,204.24

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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.