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Finding the Fourth Proportional to 5,230.53, 7,851.06 and 3,043.53

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Solution

The fourth proportional to 5,230.53, 7,851.06 and 3,043.53 is: 4,568.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.53 : 7,851.06 = 3,043.53 : x
  2. Step 2: Convert to fraction form
    5,230.53/7,851.06 = 3,043.53/x
  3. Step 3: Cross multiply
    5,230.53x = 7,851.06 × 3,043.53
  4. Step 4: Simplify right side
    5,230.53x = 23,894,936.64
  5. Step 5: Solve for x
    x = 23,894,936.64/5,230.53
  6. Step 6: Final answer
    x = 4,568.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.