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Finding the Fourth Proportional to 3,572.84, 4,931.84 and 3,199.16

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Solution

The fourth proportional to 3,572.84, 4,931.84 and 3,199.16 is: 4,416.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,572.84 : 4,931.84 = 3,199.16 : x
  2. Step 2: Convert to fraction form
    3,572.84/4,931.84 = 3,199.16/x
  3. Step 3: Cross multiply
    3,572.84x = 4,931.84 × 3,199.16
  4. Step 4: Simplify right side
    3,572.84x = 15,777,745.25
  5. Step 5: Solve for x
    x = 15,777,745.25/3,572.84
  6. Step 6: Final answer
    x = 4,416.02

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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.