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Finding the Fourth Proportional to 3,612.92, 4,966.68 and 3,106.91

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Solution

The fourth proportional to 3,612.92, 4,966.68 and 3,106.91 is: 4,271.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612.92 : 4,966.68 = 3,106.91 : x
  2. Step 2: Convert to fraction form
    3,612.92/4,966.68 = 3,106.91/x
  3. Step 3: Cross multiply
    3,612.92x = 4,966.68 × 3,106.91
  4. Step 4: Simplify right side
    3,612.92x = 15,431,051.83
  5. Step 5: Solve for x
    x = 15,431,051.83/3,612.92
  6. Step 6: Final answer
    x = 4,271.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.