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Finding the Fourth Proportional to 4,722.92, 6,514.22 and 2,931.42

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Solution

The fourth proportional to 4,722.92, 6,514.22 and 2,931.42 is: 4,043.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,722.92 : 6,514.22 = 2,931.42 : x
  2. Step 2: Convert to fraction form
    4,722.92/6,514.22 = 2,931.42/x
  3. Step 3: Cross multiply
    4,722.92x = 6,514.22 × 2,931.42
  4. Step 4: Simplify right side
    4,722.92x = 19,095,946.55
  5. Step 5: Solve for x
    x = 19,095,946.55/4,722.92
  6. Step 6: Final answer
    x = 4,043.25

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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.