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Finding the Fourth Proportional to 5,302.88, 7,949.60 and 2,013.74

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Solution

The fourth proportional to 5,302.88, 7,949.60 and 2,013.74 is: 3,018.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.88 : 7,949.60 = 2,013.74 : x
  2. Step 2: Convert to fraction form
    5,302.88/7,949.60 = 2,013.74/x
  3. Step 3: Cross multiply
    5,302.88x = 7,949.60 × 2,013.74
  4. Step 4: Simplify right side
    5,302.88x = 16,008,417.44
  5. Step 5: Solve for x
    x = 16,008,417.44/5,302.88
  6. Step 6: Final answer
    x = 3,018.82

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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.