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Finding the Fourth Proportional to 5,229, 7,846.74 and 3,038.76

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Solution

The fourth proportional to 5,229, 7,846.74 and 3,038.76 is: 4,560.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,229 : 7,846.74 = 3,038.76 : x
  2. Step 2: Convert to fraction form
    5,229/7,846.74 = 3,038.76/x
  3. Step 3: Cross multiply
    5,229x = 7,846.74 × 3,038.76
  4. Step 4: Simplify right side
    5,229x = 23,844,359.64
  5. Step 5: Solve for x
    x = 23,844,359.64/5,229
  6. Step 6: Final answer
    x = 4,560.02

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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.