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Finding the Fourth Proportional to 5,300.02, 7,314.13 and 3,203.78

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Solution

The fourth proportional to 5,300.02, 7,314.13 and 3,203.78 is: 4,421.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.02 : 7,314.13 = 3,203.78 : x
  2. Step 2: Convert to fraction form
    5,300.02/7,314.13 = 3,203.78/x
  3. Step 3: Cross multiply
    5,300.02x = 7,314.13 × 3,203.78
  4. Step 4: Simplify right side
    5,300.02x = 23,432,863.41
  5. Step 5: Solve for x
    x = 23,432,863.41/5,300.02
  6. Step 6: Final answer
    x = 4,421.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.