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Finding the Fourth Proportional to 3,302.64, 4,919.54 and 3,127.34

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Solution

The fourth proportional to 3,302.64, 4,919.54 and 3,127.34 is: 4,658.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302.64 : 4,919.54 = 3,127.34 : x
  2. Step 2: Convert to fraction form
    3,302.64/4,919.54 = 3,127.34/x
  3. Step 3: Cross multiply
    3,302.64x = 4,919.54 × 3,127.34
  4. Step 4: Simplify right side
    3,302.64x = 15,385,049.63
  5. Step 5: Solve for x
    x = 15,385,049.63/3,302.64
  6. Step 6: Final answer
    x = 4,658.42

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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.