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Finding the Fourth Proportional to 3,705.48, 5,558.49 and 3,054.24

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Solution

The fourth proportional to 3,705.48, 5,558.49 and 3,054.24 is: 4,581.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.48 : 5,558.49 = 3,054.24 : x
  2. Step 2: Convert to fraction form
    3,705.48/5,558.49 = 3,054.24/x
  3. Step 3: Cross multiply
    3,705.48x = 5,558.49 × 3,054.24
  4. Step 4: Simplify right side
    3,705.48x = 16,976,962.50
  5. Step 5: Solve for x
    x = 16,976,962.50/3,705.48
  6. Step 6: Final answer
    x = 4,581.58

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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.