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Finding the Fourth Proportional to 3,698.84, 5,548.25 and 1,507.18

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Solution

The fourth proportional to 3,698.84, 5,548.25 and 1,507.18 is: 2,260.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.84 : 5,548.25 = 1,507.18 : x
  2. Step 2: Convert to fraction form
    3,698.84/5,548.25 = 1,507.18/x
  3. Step 3: Cross multiply
    3,698.84x = 5,548.25 × 1,507.18
  4. Step 4: Simplify right side
    3,698.84x = 8,362,201.33
  5. Step 5: Solve for x
    x = 8,362,201.33/3,698.84
  6. Step 6: Final answer
    x = 2,260.77

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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.