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Finding the Fourth Proportional to 3,406.79, 5,082.49 and 3,088.49

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Solution

The fourth proportional to 3,406.79, 5,082.49 and 3,088.49 is: 4,607.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.79 : 5,082.49 = 3,088.49 : x
  2. Step 2: Convert to fraction form
    3,406.79/5,082.49 = 3,088.49/x
  3. Step 3: Cross multiply
    3,406.79x = 5,082.49 × 3,088.49
  4. Step 4: Simplify right side
    3,406.79x = 15,697,197.99
  5. Step 5: Solve for x
    x = 15,697,197.99/3,406.79
  6. Step 6: Final answer
    x = 4,607.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.