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Finding the Fourth Proportional to 3,703.92, 5,554.92 and 1,106.25

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Solution

The fourth proportional to 3,703.92, 5,554.92 and 1,106.25 is: 1,659.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.92 : 5,554.92 = 1,106.25 : x
  2. Step 2: Convert to fraction form
    3,703.92/5,554.92 = 1,106.25/x
  3. Step 3: Cross multiply
    3,703.92x = 5,554.92 × 1,106.25
  4. Step 4: Simplify right side
    3,703.92x = 6,145,130.25
  5. Step 5: Solve for x
    x = 6,145,130.25/3,703.92
  6. Step 6: Final answer
    x = 1,659.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.